alleryStart learning →Find the value of 1 + 3 + 9 + 27 + 81.
- 120
- 121
- 111
- 125
Show answer and solution
Correct answer: B. 121
This is a GP with ratio 3, so the sum is (3^5 - 1)/2 = 121.
CA Foundation Sequence and Series — practice questions — page 2
Explore 68 free Sequence and Series questions in CA Foundation Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.
Practise Sequence and Series with Quill →Sequence and Series questions and exercises with answers
Showing questions 31–60 of 68.
Find the value of 1 + 3 + 9 + 27 + 81.Read the answer and worked solution →Squares of 1 up to 10 are added. What is the total?Read the answer and worked solution →Add the first ten terms of the progression starting 4, 6, 8.Read the answer and worked solution →In an AP the 7th term is 20 and the 12th term is 35. The first term isRead the answer and worked solution →If 1/a, 1/b and 1/c are in AP, then a, b and c are inRead the answer and worked solution →The 4th term of the HP 1/3, 1/5, 1/7, ... isRead the answer and worked solution →What is the next term of the HP 12, 6, 4, ...?Read the answer and worked solution →An infinite harmonic progression isRead the answer and worked solution →If the altitudes of a triangle are in AP, its sides are inRead the answer and worked solution →Stacked blocks overhang by 1/2, 1/4, 1/6, 1/8, ... Which progression is this?Read the answer and worked solution →Taking logarithms of the terms of a positive GP givesRead the answer and worked solution →Which progression models linear growth?Read the answer and worked solution →The first 10 terms of a GP with a = 4 and r = -1 add up toRead the answer and worked solution →The third term of a 5-term GP is 3. The product of all five terms isRead the answer and worked solution →Find the sum of the integers from 1 to 50.Read the answer and worked solution →What is the sum of all multiples of 3 up to 99?Read the answer and worked solution →How many terms are in the AP 100, 95, 90, ..., 5?Read the answer and worked solution →An AP has first term 1 and its first 10 terms sum to 100. Its common difference isRead the answer and worked solution →Three arithmetic means are inserted between 4 and 20. The second one isRead the answer and worked solution →A culture of 500 bacteria doubles every hour. After 6 hours it holdsRead the answer and worked solution →A salary starts at Rs 20,000 and rises Rs 1,000 yearly. In year 8 it isRead the answer and worked solution →Savings are Rs 100 in month 1 and rise Rs 20 each month. Total in 12 months?Read the answer and worked solution →A ball falls from 81 m and rebounds to 2/3 of its previous height each time. Total upward travel?Read the answer and worked solution →The nth term of an AP is 4n - 1. The sum of its first 10 terms isRead the answer and worked solution →If 3x + 1, 5x - 3 and 6x + 2 are in AP, then x equalsRead the answer and worked solution →If 2, x and 18 are in GP with positive terms, then x isRead the answer and worked solution →An infinite GP with first term 1 has a finite sum when the ratio isRead the answer and worked solution →The sum of the terms of a finite arithmetic progression is calledRead the answer and worked solution →Ancient Greek mathematics described terms of a geometric series as being inRead the answer and worked solution →Books VIII and IX of which ancient work analyse geometric progressions?Read the answer and worked solution →
Worked practice questions
Squares of 1 up to 10 are added. What is the total?
- 330
- 3025
- 385
- 440
Show answer and solution
Correct answer: C. 385
The sum is n(n + 1)(2n + 1)/6 = 10 x 11 x 21 / 6 = 385.
Add the first ten terms of the progression starting 4, 6, 8.
- 110
- 130
- 140
- 120
Show answer and solution
Correct answer: B. 130
The 10th term is 22, so the sum is 10 x (4 + 22)/2 = 130.
How to practise
- Choose a Sequence and Series question and try to work out your answer.
- Open the question to check the correct answer and read its worked solution.
- Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.