Question

Determine the next three terms in the following sequence: 1, 2, 5, 10, ____, ____, ____,... a. 17, 26, 37 b. 19, 30, 43 c. 50, 500, 25,000 d. 15, 25, 40

Answer 1

the answer to the question is a

Answer 2

$a_{n}$ = (n-1)² + 1  

n₁ = (1 - 1)² + 1 = 1

n₂ = (2 - 1)² + 1 = 2

n₃ = (3 - 1)² + 1 = 5

n₄ = (4 - 1)² + 1 = 10

n₅ = (5 - 1)² + 1 = 17

n₆ = (6 - 1)² + 1 = 26

n₇ = (7 - 1)² + 1 = 37

Answer: A