MATH SOLVE

5 months ago

Q:
# write the rule for the nth term of the geometric sequence. Then find a5a2= 20 , r= 1/4

Accepted Solution

A:

Answer:aₙ = a₁rⁿ⁻¹ a₅ = 5/16Step-by-step explanation:Formula:nth term of geometric sequence aₙ = a₁rⁿ⁻¹aₙ - nth terma₁ - first termr - common ratioTo find a₅It is given that, a2= 20 , r= 1/4we can find a₁a₁ = a₂/r = 20/(1/4) = 20 * 4 = 80aₙ = a₁rⁿ⁻¹a₅ = a₁r⁽⁵⁻¹⁾ = 80 * (1/4)⁴ = 5/16Therefore a₅ = 5/16