What comes next in this sequence
196, 169, 144, 121, 100, 81, ?
A) 77
B) 74
C) 67
D) 64
Answers
Answered by
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
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.
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