Question

Find the sum of first 5 terms of the geometric series 2 + 2/3 + 2/5 +........

Answer 1

sum of first 5 term is S5= 2( root 3 ) raise to the power 4 -1 / root 3-1, 2(9-1)/ root 3-1, 2(8)/ root 3-1, 16/ root 3-1 by rationalise 16(root 3+1)/2, 8( root 3+1) this is answer ( please mark it as a brainiest)

Answer 2

Heya friends.☣

Here is ur answer...↙

a' first term =2

second term.t2 =2/3

common difference between two consecutive term is t2-t1

so,2/3-2

d=2-6/3

d'=-4/3

t5=a+4d

t5=2+4*(-4)/3

=>6-16
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3

=>-10/3
⬅⬅⬅⬅⬅⬅⬅⬅⬅⬅⬅⬅⬅⬅⬅⬅
now as you know that....the sum of nth term of an Ap is n/2(a+l)

【where a is first term and l is last term】

=>5/2【2+(-10/3)】

=>5/2【6-10)/3】

=>5/2【18-10)/3】

=>【5/2(8)/3】

=>40/6

=>20/3 Ans .

Hope it help you..

@Rajukumar☺☺