for the nth triangular number S, =1+2+3+ • .. +n. What is the smallest value of n for which S, is divisible by: i 29, v two distinct primes, iv 38. ii 35, iii 26, vi three distinct primes, vii four distinct primes? cin = 28 iv n = 19 ii n = 14 iii n = 12 vi n = 11 vii n = 20 %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 52E
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Answers attached. Please solve c) vi and vii with full explained working. Thank you.

for the nth triangular number S, =1+2+3+ • .. +n.
What is the smallest value of n for which S, is divisible by:
i 29,
v two distinct primes,
iv 38.
ii 35,
iii 26,
vi three distinct primes,
vii
four distinct primes?
Transcribed Image Text:for the nth triangular number S, =1+2+3+ • .. +n. What is the smallest value of n for which S, is divisible by: i 29, v two distinct primes, iv 38. ii 35, iii 26, vi three distinct primes, vii four distinct primes?
cin = 28
iv n = 19
ii n = 14
iii n = 12
vi n = 11
vii n = 20
%3D
Transcribed Image Text:cin = 28 iv n = 19 ii n = 14 iii n = 12 vi n = 11 vii n = 20 %3D
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