For this problem you may wish to use the summation formulae: η η Er==n(n+1) and Σ r=1 Σ r=1 (a) Determine a formula for the series S = n 1 2 =n(2 ān(2n + 1)(n + 1). Σ12rr - 1). r=1 (b) Find the value of n for which n Tr=1. r = 11.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 40E
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Help me solve this practise A-level math question :)

1.
For this problem you may wish to use the summation formulae:
n
Σr=
r=1
1
z n(n+1)
and
(a) Determine a formula for the series
S =
n
n
Σr² = 1 n
r=1
Σ12r(r— 1).
r=1
(b) Find the value of n for which
n
Σr=
r=5
r = 11.
₹n(2n + 1)(n + 1).
Transcribed Image Text:1. For this problem you may wish to use the summation formulae: n Σr= r=1 1 z n(n+1) and (a) Determine a formula for the series S = n n Σr² = 1 n r=1 Σ12r(r— 1). r=1 (b) Find the value of n for which n Σr= r=5 r = 11. ₹n(2n + 1)(n + 1).
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