Question

2 , 3 ,2 ,15 _ _ ? _ _ ,- 245 ​

Answer 1

Given following AP is wrong because common difference , d= a2-a1 and d=a3-a2

Answer 2

The missing number = 44

Step-by-step explanation:

We have,

2, 3, 2, 15, ?, 245

To find, the missing number = ?

3 = 2 × 1 + $1^2$ = 2 + 1 = 3

2 = 3 × 2 – $2^2$ =  6 - 4 = 2

15 = 2 × 3 + $3^2$ =6 + 9 = 15

Similarly,

? = 15 × 4 – $4^2$ = 60 - 16 = 44

245 = 44 × 5 + $5^2$ = 220 + 25 = 245

Hence, the missing number = 44