Question

Find the next number in the following series: 2, 3, 5, 9, 17‐‐‐‐‐‐‐‐

Answer 1

according to pattern it will be 32.

Answer 2

Answer:

33

Step-by-step explanation:

formula T(n)=T(n-1)+2^(n-2)

T(n-1) represents the previous member of the series

T1 = 2

T2 = 2 + 2^(2–2) = 2 + 2^0 = 2 + 1 = 3

T3 = 3 + 2^(3–2) = 3 + 2^1 = 3 + 2 = 5

T4 = 5 + 2^(4–2) = 5 + 2^2 = 5 + 4 = 9

T5 = 9 + 2^(5–2) = 9 + 2^3 = 9 + 8 = 17

T6 = 17 + 2^(6–2) = 17 + 2^4 = 17 + 16 = 33

:-33 .....ans