Question

10, 17, 20, 37, 50, ?, 150
(A) 65
(B) 64
(C) 63
(D) 62​

Answer 1

The given question is incorrect

The correct question is 10, 17, 26, 37, 50, ?, 82

The value of the missing number in the sequence is 65.

Option(A) is the correct answer.

Given:

A sequence 10, 17, 26, 37, 50, ?, 82

To Find:

The value of the missing number in the sequence.

Solution:

We are required to find the value of the missing number in the sequence.

The given sequence follows the pattern as

• The first number is the sum of three squares and 1 (3²+1) which is equal to 10.

• Similarly, it is repeated for the next values of number 4,5,6,7,8,9

• So, The missing number 6th term is the sum of eight squares and 1 (8²+1) which is equal to 65.

3²+1 = 9+1 = 10

4²+1 = 16+1 = 17

5²+1 = 25+1 = 26

6²+1 = 36+1 = 37

7²+1 = 49+1 = 50

8²+1 = 64+1 = 65

9²+1 = 81+1 = 82

Therefore, The value of the missing number in the sequence is 65.

Hence, Option(A) is the correct answer.

#SPJ2

Answer 2

Answer:

The answer to the given question is the missing term in the series is option A 65.

10,17,26,37,50,65,82

Step-by-step explanation:

Given :

10, 17, 20, 37, 50,? 150

To find :

From the given question, we have to find the missing number in the series.

Solution :

It is found that the given sequence is a little bit wrong, According to the logic the correct sequence will be

$10 \: 17 \: 26 \: 37 \: 50 \: x \: 82$

we have to find the value of x in the series.

let us find the pattern followed in the given series.

${3}^{2} + 1 = 9 + 1= 10 \\ {4}^{2} + 1 = 6 + 1 = 17 \\ {5}^{2} + 1 = 25 + 1 = 26 \\ {6}^{2} + 1 = 36 + 1 = 37 \\ {7}^{2} + 1= 49 + 1 = 50$

Till 5 th term, the same pattern is followed, therefore the sixty terms should also follow the same pattern as before

${8}^{2} + 1 = 64 + 1 = 65$

and the last term will be

${9}^{2} + 1 = 81 + 1 = 82$

The final answer is obtained as 65.

Therefore, the final answer to the given question is 65

Hence, the series will be

10,17,26,37,50,65,82.

# spj5

we can find similar questions through the link given below

https://brainly.in/question/22222619?referrer=searchResults