alleryFor a_n = 4n − 3, the value of a_17 is:
- 60
- 72
- 68
- 65
Show answer and solution
Correct answer: D. 65
4·17−3 = 68−3 = 65.
AP Intermediate 1st Year Sequences and Series — practice questions
Explore 50 free Sequences and Series questions in AP Intermediate 1st Year Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 1–30 of 50.
For a_n = 4n − 3, the value of a_17 is:Read the answer and worked solution →For the recursive sequence a_1 = 1, a_n = a_{n−1}+2 (n≥2), the fifth term is:Read the answer and worked solution →In the Fibonacci sequence 1,1,2,3,5,8,…, the seventh term is:Read the answer and worked solution →A sequence whose terms differ by a constant from the preceding term is called:Read the answer and worked solution →The n-th term of an A.P. with first term a and common difference d is:Read the answer and worked solution →The sum of n terms of an A.P. with first term a and last term l is:Read the answer and worked solution →The 10th term of the A.P. 2, 5, 8, 11, … is:Read the answer and worked solution →The sum of the first 20 terms of the A.P. 1, 3, 5, 7, … is:Read the answer and worked solution →A sequence in which the ratio of any term to its preceding term is constant is called:Read the answer and worked solution →The n-th term of a G.P. with first term a and common ratio r is:Read the answer and worked solution →The 10th term of the G.P. 5, 25, 125, … is:Read the answer and worked solution →Which term of the G.P. 2, 8, 32, … equals 131072?Read the answer and worked solution →In a G.P., a_3 = 24 and a_6 = 192. The 10th term is:Read the answer and worked solution →The sum of n terms of a G.P. with first term a, common ratio r (r≠1), is:Read the answer and worked solution →The sum of the first 5 terms of the G.P. 1, 2/3, 4/9, 8/27, … is:Read the answer and worked solution →How many terms of the G.P. 3, 3/2, 3/4, … are needed to give the sum 3069/512?Read the answer and worked solution →For an infinite G.P. with |r| < 1, the sum equals:Read the answer and worked solution →The sum of the infinite G.P. 1 + 1/2 + 1/4 + 1/8 + … is:Read the answer and worked solution →The geometric mean of two positive numbers a and b is:Read the answer and worked solution →For two positive numbers a and b, the arithmetic mean (A) and geometric mean (G) satisfy:Read the answer and worked solution →If the A.M. and G.M. of two positive numbers are 10 and 8, the numbers are:Read the answer and worked solution →The series 1+3+5+…+(2n−1) is equal to:Read the answer and worked solution →The series obtained by adding terms of a sequence in order is called a:Read the answer and worked solution →For a_n = n²/2^n, the value of a_7 equals:Read the answer and worked solution →The 24th term of the A.P. with first term 5 and common difference 4 is:Read the answer and worked solution →In the sequence a_1 = 3, a_n = 3a_{n−1} + 2 (n>1), the value of a_3 is:Read the answer and worked solution →The arithmetic mean and geometric mean of two positive numbers are 10 and 8 respectively. The numbers are:Read the answer and worked solution →For two distinct positive real numbers, their arithmetic mean A and geometric mean G always satisfy:Read the answer and worked solution →The value of $1^3 + 2^3 + 3^3 + \cdots + 10^3$ is:Read the answer and worked solution →The sum to infinity of the series $1 + \tfrac{1}{3} + \tfrac{1}{9} + \cdots$ is:Read the answer and worked solution →
Worked practice questions
For the recursive sequence a_1 = 1, a_n = a_{n−1}+2 (n≥2), the fifth term is:
- 9
- 7
- 11
- 13
Show answer and solution
Correct answer: A. 9
Odd numbers 1,3,5,7,9. a_5 = 9.
In the Fibonacci sequence 1,1,2,3,5,8,…, the seventh term is:
- 11
- 12
- 14
- 13
Show answer and solution
Correct answer: D. 13
1,1,2,3,5,8,13.
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