What is the hundredth term in the sequence 15,22,29,36,43,...
Answers
Answered by
7
the difference in this value is of 7 (22-15)=7
so the n term is
an= a+(n-1) d
a100= 15+(100-1)7
a100= 15 + 693
a100 = 707
therefore the hundred term is 707
Answered by
12
Answer:
the hundredth term in the sequence 15,22,29,36,43,...is 708
Step-by-step explanation:
The nth term of an arithmetic progression is given as:
Let aₙ be the nth term, a₀ the first term, and d be the common difference.
The nth term of the arithmetic progression is given by:
aₙ = a₀ + (n - 1)d
From the question, the common difference is (22 - 15) = 7
a₀ = 15 n = 100
Doing substitution we have:
a₁₀₀ = 15 + (100 - 1)7
a₁₀₀ = 708
Similar questions