Answers

2014-02-20T09:37:46+01:00
R = 2
T₅ = T₁ + 45              (1)

Remember, Tn = ar^(n-1)

T₁ = a                      (2)

T₅ = a x 2⁵⁻¹
T₅ = a x 2⁴
T₅ = a x 16
T₅ = 16a                   (3)

Substitute 16a for T₅ and a for T₁ in (1)
16a = a + 45
16a - a = 45               (collecting like terms)
15a = 45
a = 3                         (dividing through by 5)


Therefore,
T₅ = 16 x 3 = 48
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