Question

10, 13, 41, 85, ? ,221,313​

Answer 1

Answer:

Hey mate here is your answer.

in the series the first number should be 5 check ones,

then only it is logical.

Step-by-step explanation:

145 is the missing number,

Hope it helps you,

Please do mark me as brain-lest./

Answer 2

The given series are:

10, 13, 41, 85, ? , 195, 253

We have to find, the value of missing number (?) =

Solution:

The pattern follow:

Previous number + 3, Previous number + 28(3 + $5^{2}$), Previous number + 44(28+ $4^{2}$), Previous number + 53(44 + $3^{2}$), .......

13 = 10 + 3 = 13

41 = 13 + (3 + $5^{2}$)

= 13 + 28 = 41

85 = 41 + (28 + $4^{2}$)

= 41 + 44 = 85

? = 85 + (44 + $3^{2}$)

= 85 + 53 = 138

195 = 138 + (53 + $2^2$)

= 138 + 57 = 195

253 = 195 + (57 + $1^2$)

= 195 + 58 = 253

∴ The missing number (?) = 138