Question

for the ap: 3/2,1/2,-1/2,-3/2........,write the first term a and the common difference d.​

Answer 1

HOPE IT HELPS YOU..........................

Answer 2

Given:-

→First Term(a)=$\frac{3}{2}$

$\rule{200}{1}$

To Find:-

→First Term and Common Difference?

$\rule{200}{1}$

AnswEr:-

→Common Difference(d)=a²-a¹↓

→d=$\frac{1}{2}$-$\frac{3}{2}$=$\frac{-2}{2}$ or -1

•To Verify d•

→d=a³-a²=$\frac{-1}{2}$-$\frac{1}{2}$

→d=$\frac{-2}{2}$or -1

๛First Term(a)=Given

๛a=$\frac{3}{2}$

๛To Verify it's an A.P๛

→a⁴=$\frac{-3}{2}$

→a⁴=a+(4-1)×d=$\frac{-3}{2}$

→a⁴=$\frac{3}{2}$+3×$\frac{-2}{2}$=$\frac{-3}{2}$

→a⁴=$\frac{-3}{2}$=$\frac{-3}{2}$

★Hence,LHS=RHS★

$\rule{200}{2}$