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Algebra-14- Sequence and series || Quantitative Aptitude || CAT 2021 || 28 September

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Question 1

Find the sum of series up to 40 terms where series is 1 × 2 × 3 + 2 × 3 × 4 + 3 × 4 × 5 + …

Question 2

A student finds the sum 1 + 2 + 3 + ... as his patience runs out. He found the sum as 575. When the teacher declared the result wrong, the student realized that he missed a number. What was the number the student missed?

Question 3

For a sequence we are given

for n being an odd integer greater than 1 and for every even integer value of n greater than 2,

. If

, what is the value of the 51^st term of the sequence?

Question 4

If a₁ = 1 and a_n+1 – 3a_n + 2 = 4n for every positive integer n, then a a₁₀₀ equals

Question 5

If x = 1 – 2 – 15 - ……. – 287 and y = 1 -

∞ then what is the value of

Question 6

, then among the given options which value is closest to a₁ + a₂ + a₃ + …….. a₁₅₀ ?

Question 7

Sonu went to a restaurant named “Happy da Dhaba” on 1^st, 3^rd, 6^th, 10^th, 15^th ….. day of the year 2018 and he continued to visit the restaurant in this pattern thereafter. Sweety went the same restaurant on 1^st, 4^th, 8^th, 13^th, 19^th ….. day of the year 2018 and she continued to visit the restaurant in this pattern thereafter. When would they visit the restaurant together again?

Question 8

In a sequence of terms a₁,a₂……..nth term , nth term is given by a_n = (a_n-1 + a_n+1)/2 . If a₇ = 6 and a₁₄=7 , find S₂₇/S₁₃ where S_i is the sum of all terms from a₁ to a_i in the sequence .

Question 9

Consider a sequence then n^th term t_n = n/(n + 2), n = 1, 2… the value of t₃ x t₄ x t₅ x …… x t₅₃ equals:

Question 10

The sum of $Description: Description: Description: I:\Work\All PYSP Papers\Backend Upload\UPSE\CAT\IIFT\IIFT_2014_files\image069.png$ is

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CAT & MBA Quantitative Aptitude

Sep 28CAT & MBA