CBSE Class 11 (Science) Sequences and Series — practice questions
79 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CBSE Class 11 (Science) Sequences and Series in the app →The individual numbers occurring in a sequence are called its:In the notation for a sequence, the subscript denotes the:The nth term of a sequence is also called the:A sequence with a fixed number of terms is called:A sequence that never ends is described as:The compact notation using the Greek letter for summation is called:The sum of the finite series 1 + 3 + 5 + 7 is:A sequence where each term is a fixed multiple of the last is a:In a geometric progression, the fixed multiplier is called the:The geometric mean of two positive numbers a and b is:The geometric mean of 2 and 8 is:The numbers 2, 4 and 8 are consecutive terms of a:The common ratio of the progression 3, 6, 12, 24 is:The common ratio of the progression 81, 27, 9, 3 is:The next term of the geometric progression 5, 10, 20 is:The arithmetic mean of 4 and 16 is:The geometric mean of 4 and 16 is:If two positive numbers have A.M. 10 and G.M. 8, their sum is:Special series cover natural numbers, their squares and their:A sequence is a function whose domain is which set?With a 30-year generation gap, how many generations of ancestors fit into 300 years?A person has 2 parents, 4 grandparents, 8 great grandparents and so on. Total ancestors in ten generations?The successive quotients 3, 3.3, 3.33, 3.333, ... from dividing 10 by 3 form which kind of sequence?The sequence 2, 4, 6, ... has nth term an = 2n. What is its 37th term?Which formula gives the nth term of the odd natural numbers 1, 3, 5, ...?In the Fibonacci sequence 1, 1, 2, 3, 5, 8, ..., what is the next term?What is the 10th term of the Fibonacci sequence 1, 1, 2, 3, 5, 8, ...?The sequence of primes 2, 3, 5, 7, ... can be specified only through what?The expression a1 + a2 + a3 + ... + an obtained from a sequence is called its what?Which Greek letter is used in the compact notation for summing a series?A series is finite exactly when its associated sequence is what?How many terms does the finite series 1 + 3 + 5 + 7 have?If an = 2n + 5, what is the third term of the sequence?For the sequence an = (n - 1)(2 - n)(3 + n), what is a20?A sequence has a1 = 1 and an = a(n-1) + 2 for n at least 2. What is a5?Which property defines a geometric progression?What is the common ratio of the sequence 0.01, 0.0001, 0.000001, ...?What is the 10th term of the G.P. 5, 25, 125, ...?Which term of the G.P. 2, 8, 32, ... is 131072?In a G.P. the 3rd term is 24 and the 6th term is 192. What is the 10th term?A G.P. has first term 7 and common ratio 1. What is the sum of its first 12 terms?How many terms of the G.P. 3, 3/2, 3/4, ... give a sum of 3069/512?Is the sequence 7, 77, 777, 7777, ... a geometric progression?Three positive numbers are inserted between 1 and 256 to form a G.P. What are they?For two positive numbers, how are their A.M. (A) and G.M. (G) related?The A.M. and G.M. of two positive numbers are equal only when what holds?By how much does the A.M. of 9 and 25 exceed their G.M.?A quadratic has roots with A.M. 8 and G.M. 5. Which is the equation?A G.P. with first term 5 and ratio 2 has sum 315. How many terms does it have?A culture starts with 30 bacteria that double every hour. How many after 4 hours?A person has 2 parents and 4 grandparents. How many great grandparents does he have?Rs 500 earns 10% interest compounded annually. What is the amount after 2 years?A machine costing Rs 15625 loses 20% of its value yearly. Its value after 5 years?In a chain, each person mails 4 new letters. How many letters are in the 8th set?The first term of a G.P. is -3 and its 4th term is the square of its 2nd. Find r.The 8th term of a G.P. is 192 and its common ratio is 2. What is the 12th term?If 3, k and 48 are in G.P. with k positive, what is k?Which two numbers inserted between 3 and 81 make a G.P.?Three terms a/r, a and ar of a G.P. have product 27. What is the middle term a?A G.P. has first three terms summing to 16 and next three summing to 128. Find r.What is the sum of the first 20 natural numbers 1 + 2 + 3 + ... + 20?What is the value of the sum of 2k as k runs from 1 to 5?If the nth term of a sequence is 3n - 2, what is the 10th term?What are the first three terms of the sequence with an = n^2 + 1?If a1 = 3 and an = 3a(n-1) + 2 for n > 1, what is a3?A sequence whose domain is {1, 2, 3, ..., k} is known as which type?The ancestor counts 2, 4, 8, ... for generation n are given by an equal to what?In deriving Sn for a G.P., subtracting r times Sn from Sn gives (1 - r)Sn equal to what?In an arithmetic progression, which quantity stays constant?What is the sum of the arithmetic series 2 + 5 + 8 + 11 + 14?By the pairing method attributed to Gauss, what is 1 + 2 + 3 + ... + 100?Arithmetic progressions show which type of growth or decline?In a G.P. with common ratio of absolute value below 1, the terms approach what?What happens to the terms of a G.P. whose common ratio is negative?Which economist used the contrast between G.P. and A.P. growth for population ideas?Books VIII and IX of whose Elements analyse geometric progressions?The terms of a geometric series are also said to be in continued what?For a finite A.P., the mean value of the terms equals the mean of which values?In the sequence of primes 2, 3, 5, 7, ..., which prime comes next?