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

It would equal to 12.7 cm because an inch equals 2.54 cm....

Manoj and shira asked to find an explicit formula

ennaturan

16.01.2022

The answer is (B) ⇒ Only shira

Step-by-step 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

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