Math, asked by Kalu1303, 2 months ago

find the value of 2^1/4.2^1/5​

Answers

Answered by sainilavanya02
0

Answer:

2^1/4×2^2/8×2^3/16×2^4/32×2^5/64………infinite.

P=(2)^(1/4+2/8+3/16+4/32+5/64+……….infinite).

P=(2)^S…………………..(1)

Where S=1/4+2/8+3/16+4/32+5/64+…………infinite………..(2).

S ×(1/2) = 1/8+2/16+3/32+4/64+…………….…………………..infinite…….(3).

On subtracting eq.(3) from (2).

S/2=1/4+1/8+1/16+1/32+1/64+………. infinite.

S/2=a/(1-r) = (1/4)/(1–1/2).

S/2 =1/4×2/1.

S/2 = 1/2

S = 1.

put S=1 in eq.(1).

P =(2)^S.

P =(2)^1

P = 2 . Answer.

Step-by-step explanation:

Similar questions