Question

find the 20th term of the sequence 5/2, 5/4, 5/8............

Answer 1

Step-by-step explanation:

given sequence = 5/2,5/4,5/8.......

we know that,

an = a+(n-1) d

here, a=5/2

n=20

d=-5/4

a20=?

a20 = 5/2 + (20-1) -5/4

a20 = 5/2 + (19) -5/4

= 5/2 + (-95/4)

a20 = -85/4

therefore the 20th term of the sequence 5/2,5/4,5/8 is -85/4.

Hope it helps!!

Answer 2

Step-by-step explanation:

a = 5/2, r = 1/2

20th term = (5/2)(1/2)^19

= 5/1048576

nth term = (5/2)(1/2)^(n-1)

= 5/2^n

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