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Find the value of 13+21+29+..173

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Find the value of
$13 + 21 + 29 + ..173$

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Text solutionVerified

13 + 21 + 29 + ..... + 173

a = 13

l = 173

=> 13 + (n - 1) 8 = 173

=> 13 + 8 n - 8 - 173 = 0

=> 8 n = 168

=> n = 21

S_{n} = (a + l) \frac{n}{2}

= (13 + 173) \times \frac{21}{2}

= 186 \times \frac{21}{2}

= 1953.

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