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Applications (Word Problem)

Solve: 7n +...

Question

Solve: $7 n + 49 = 497$

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Solution

$7 n + 49 = 497$
$7 n = 497 - 49$
$7 n = 448$
$n = \frac{448}{7}$
$= 64$
$∴ n = 64$ .

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Q. Solve for "a":

a + (n - 1) d = 497

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is divisible by 49. Hence show that

2^{3 n + 3} - 7 n - 8

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Q. Solve the equations:

(6) 7n + 5 = 19

Find the values of the following:

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Q. Find the following limit.

lim n \to \infty (1 - \frac{1}{7} + \frac{1}{49} - . . . + \frac{(- 1)^{n - 1}}{7^{n - 2}}) .

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