5) In an AP the T5 = 27 and the T13 = 67, find S20 term

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 75E
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5) In an AP the T5 = 27 and the T13 = 67, find S20 term
Using the formulae, a+(n-1) d; we must find the common difference along with the first
term. Hence giving that:
T5 = 27
T13 = 67
a (5-1) d=27
a (13-1) d=67
a+ 4%3D27...(1)
a+12d=67...(2)
we then subtract equation (1) from equation (2)
a+4d%3D27.(1) minus a+12d=67(2)
-8d%3D40
40
d35
D'Focus
PATHIPIKAN
Transcribed Image Text:2! 2! 5) In an AP the T5 = 27 and the T13 = 67, find S20 term Using the formulae, a+(n-1) d; we must find the common difference along with the first term. Hence giving that: T5 = 27 T13 = 67 a (5-1) d=27 a (13-1) d=67 a+ 4%3D27...(1) a+12d=67...(2) we then subtract equation (1) from equation (2) a+4d%3D27.(1) minus a+12d=67(2) -8d%3D40 40 d35 D'Focus PATHIPIKAN
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