Write the rule for the nth term of the geometric sequence. then find a5
a2= 20 , r= 1/4

aₙ = a₁rⁿ⁻¹

a₅  = 5/16

Step-by-step explanation:

Formula:

nth  term of geometric sequence

aₙ = a₁rⁿ⁻¹

aₙ - nth term

a₁ - first term

r - common ratio

To find a₅

It is given that, a2= 20 , r= 1/4

we can find a₁

a₁ = a₂/r = 20/(1/4) = 20 * 4 = 80

aₙ = a₁rⁿ⁻¹

a₅ = a₁r⁽⁵⁻¹⁾ = 80 * (1/4)⁴ = 5/16

Therefore a₅  = 5/16

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step-by-step explanation: