h(n)=-91*(-(1)/(7))^(n-1) Complete the recursive formula of h(n). h(1)=◻ h(n)=h(n-1).◻

Calculate h(2): Now, let's find h(2) to see the pattern between consecutive terms. h(2) = -91 * (-(1)/7)^(2-1) = -91 * (-(1)/7)^1 = -91 * (-1/7) = 91/7 = 13Verify pattern with h(3): We can see that h(2) is obtained by multiplying h(1) by -1/7. Let's verify this pattern by calculating h(3) and checking if it follows the same rule. h(3) = -91 * (-(1)/7)^(3-1) = -91 * (-(1)/7)^2 = -91 * (1/49) = -91/49 = -91 * (1/7)^2 = -91/7 * 1/7 = 13 * (-1/7) = -13/7 = -1.85714285714 (approximately)Establish recursive formula: The pattern is consistent. Each term h(n) is obtained by multiplying the previous term h(n-1) by -1/7. Therefore, the recursive formula for h(n) is: h(n) = h(n-1) * (-1/7)Write complete formula: Now we can write the complete recursive formula for the sequence: h(1) = -91 h(n) = h(n-1) * (-1/7) for n > 1

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h(n)=-91*(-(1)/(7))^(n-1)
Complete the recursive formula of h(n).
h(1)=◻
h(n)=h(n-1).◻

$h(n)=-91\cdot\left(-\frac{1}{7}\right)^{n-1}$ $\newline$ Complete the recursive formula of $h(n)$ . $\newline$ $h(1)=\square$ $\newline$ $h(n)=h(n-1) \cdot \square$

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Find indefinite integrals using the substitution

Full solution

h(n)=-91\cdot\left(-\frac{1}{7}\right)^{n-1}

\newline

Complete the recursive formula of

h(n)

\newline

h(1)=\square

\newline

h(n)=h(n-1) \cdot \square

Calculate $h(2)$ : Now, let's find $h(2)$ to see the pattern between consecutive terms. $h(2) = -91 \times (-(1)/7)^{2-1} = -91 \times (-(1)/7)^1 = -91 \times (-1/7) = 91/7 = 13$
Verify pattern with $h(3)$ : We can see that $h(2)$ is obtained by multiplying $h(1)$ by $-\frac{1}{7}$ . Let's verify this pattern by calculating $h(3)$ and checking if it follows the same rule. h(\(3) = $-91$ \times \left(-\frac{ $1$ }{ $7$ }\right)^{ $3$ $-1$ } = $-91$ \times \left(-\frac{ $1$ }{ $7$ }\right)^ $2$ = $-91$ \times \frac{ $1$ }{ $49$ } = -\frac{ $91$ }{ $49$ } = $-91$ \times \left(\frac{ $1$ }{ $7$ }\right)^ $2$ = -\frac{ $91$ }{ $7$ } \times \frac{ $1$ }{ $7$ } = $13$ \times \left(-\frac{ $1$ }{ $7$ }\right) = -\frac{ $13$ }{ $7$ } = $-1$ . $85714285714$ \text{ (approximately)}
Establish recursive formula: The pattern is consistent. Each term $h(n)$ is obtained by multiplying the previous term $h(n-1)$ by $-\frac{1}{7}$ . $\newline$ Therefore, the recursive formula for $h(n)$ is: $\newline$ $h(n) = h(n-1) \times (-\frac{1}{7})$
Write complete formula: Now we can write the complete recursive formula for the sequence: $\newline$ $h(1) = -91$ $\newline$ $h(n) = h(n-1) \times (-\frac{1}{7})$ for n > 1