Question

What will be come at the place of question mark? 1, 2, 5, 26, 677, ?

• A. 458330
• B. 456976
• C. 453625
• D. 458329

Answer 1

Answer:

A. 458330

Observe the pattern carefully:

$1, 2, 5, 26, 677, \ ?$

Each term is obtained by:

$(\text{previous term})^2 + 1$

Check:

$1^2 + 1 = 2$
$2^2 + 1 = 5$
$5^2 + 1 = 26$
$26^2 + 1 = 677$

So the next term is:

$677^2 + 1$
$677^2 = 458329$
$458329 + 1 = 458330$

Therefore, the answer is:

$\boxed{458330}$