Question

Manoj and shira asked to find an explicit formula for the sequence -9, -27, -81, -243....

manoj said the formula is h(n) = -9*3^n, and


shira The formula is h(n) =-3*3^n. which one of them is right?


A. Only manoj

B. Only shira

C. Both manoj and shira

D. Neither manoj nor shira

Answer 1

shiraaaaaa

Explanation:

Answer 2

The answer is (B) ⇒ Only shira

Explanation:

∵ the sequence is ⇒ -9 , -27 , -81 , -243 , .......

∵ -27 ÷ -9 = 3

∵ -81 ÷ -27 = 3

∴ The constant ratio is 3

∵ the first term is -9

∴ h(n) = -9(3)^n-1

∵ -9 = -3 × 3

∴ h(n) = -3 (3 × 3^n-1) ⇒ same base add the power

∴
`h(n)=-3(3^(n-1+1))=-3(3^(n))`

∴ Shira is right