Question

If the sum of first 8 terms of an AP is 180.Find out the sum of first and last terms of progression

Answer 1

Answer:

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Answer 2

$\huge\sf\pink{Answer}$

$\sf\circ Your\: answer = 45$

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$\huge\sf\blue{Given}$

➼ Sum of the first and the last term of an AP is 180

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$\huge\sf\gray{To \:Find}$

✭ Sum of the first and last term of the AP

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$\huge\sf\purple{Steps}$

❍ We need to find the sum of first and last terms, that is (a + l),

$\underline{\boxed{ \sf\green{ S_n = \frac{n}{2}[a + l]}}} \\ \\ \dashrightarrow \sf S_8 = 180 \\ \\ \dashrightarrow \sf \frac{8}{2}[a + l] = 180 \\ \\ \dashrightarrow \sf 4[a + l] =180 \\ \\ \dashrightarrow \sf [a + l] = \frac{180}{4} \\ \\ \dashrightarrow \orange {\sf [a + l] =45}$

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