Asked by mmatshepho
consider the arithmetic sequence:-4;-1;2;5...if the nth term of the sequence is 74 determine the value of n
Answers
Answered by
Damon
I guess the first term is -4 and the difference is a = 3
Term n = term 1 + (n-1) a
Term n = -4 + (n-1) 3
for example
Term 3 = -4 + 2(3) = 2 , good, that works
so
Term n = -4 + (n-1)3 = 74
3(n-1) = 78
n-1 = 26
n = 27
Term n = term 1 + (n-1) a
Term n = -4 + (n-1) 3
for example
Term 3 = -4 + 2(3) = 2 , good, that works
so
Term n = -4 + (n-1)3 = 74
3(n-1) = 78
n-1 = 26
n = 27
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