Math, asked by agggeeta2039, 1 year ago

What comes next in this sequence

196, 169, 144, 121, 100, 81, ?
A) 77
B) 74
C) 67
D) 64

Answers

Answered by ROUNAKJALAN123
3

Answer:


Step-by-step explanation:

as we can see the square of numbers are in decreasing order 196 169 144 121 100 81 so the nest must be square of 8 which is 64

Answered by dreamrob
0

Given,

Series: 196, 169, 144, 121, 100, 81, ........

To Find,

Next number in the series =?

Solution,

Let n be a number such that,

n ² = 196 = 1st term

n = 14

If n =13, n ² = 169

Similarly, if n = 12,  n ² = 144

As we can observe in the series, the numbers in the series are square of n and n is decreasing by 1. This is valid for the whole series.

Therefore, for last given term, n ² = 81

n = 9

n will decrease by for next number , n = 8

The next number in the series will be  = n ² = 8 * 8 =64

Hence, the next number in the sequence is 64. Option(d) is the correct answer.

Similar questions