In the sequence g_n defined for all positive integer valu...

Free Practice Question

PS · Problem Solving

705-805

Functions

In the sequence

g_n

defined for all positive integer values of n,

g_1 = g_2 = 1

and, for n ≥ 3,

g_n = g_{n–1} + 2^{n-3}

. If the function

ψ(g_i)

equals the sum of the terms

g_1

,

g_2

, …,

g_i

, what is

\frac{ψ(g_{16})}{ψ(g_{15})}

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