Question

The 4th term of an AP is 14 and 8th term of an AP is 30 find the first term and common difference

Answer 1

Answer:

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Answer 2

Given:-

➜a⁴=14

➜a⁸=30

$\rule{200}{1}$

To Find:-

✪The First Term(a) and Common difference(d)?

$\rule{200}{1}$

AnsWer:-

➜a⁴=14

➜a+3d=14-(1)

➜a⁸=30

➜a+7d=30-(2)

✪Subtract (1)&(2)✪

➜a+3d=14

➜a+7d=30

▼Signs Change▼

↝-4d=-16

↝d=$\frac{\cancel{-16}}{\cancel{-4}}$

☞d=4-(3)

✪Using (3) in (1)✪

↝a+3×4=14

↝a+12=14

↝a=14-12

☞a=2

$\rule{200}{2}$