TMUA 2016 Paper 1 Q14 — Worked Solution

P1·Sequences & Series·6.5Official · 2016 · Q14

geometric-seriessum-of-two-GPssum-to-infinity

The terms of an infinite series

S

are formed by adding together the corresponding terms in two infinite geometric series,

T

and

U

. The first term of

T

and the first term of

U

are each 4. In order, the first three terms of the combined series

S

are

8

3

, and

\frac{5}{4}

. What is the sum to infinity of

S

Discussion

No discussions yet. Stuck, or want to share an approach? Start the first one.