Question

1. Find the missing term in the series given below. 4, 196, 16, 169, 36, ?, 64 (a) 121 (b) 144 (c) 169 (d) 196

Answer 1

Answer:

b

Step-by-step explanation:

answer is 144 in this missing sequence

Answer 2

The missing term in series is 144

Solution:

Given series is:

4 , 196, 16, 169 , 36 , ? , 64

We have to find the missing term

Let us analyse the given series

From given,

4 , 196, 16, 169 , 36 , ? , 64

See the terms at odd place

4 , 16, 36 , 64

$4 \times 1^2 = 4 \times 1 = 4\\\\4 \times 2^2 = 4 \times 4 = 16\\\\4 \times 3^2 = 4 \times 9 = 36\\\\4 \times 4^2 = 4 \times 16 = 64$

See the terms at even place

196, 169 , ?

$14^2 = 14 \times 14 = 196\\\\13^2 = 13 \times 13 = 169\\\\12^2 = 12 \times 12 = 144$

Therefore, complete series is:

4 , 196, 16, 169 , 36 , 144 , 64

Thus the missing term in series is 144

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