an arithmetic sequence has 15 terms what is the position of middle term in the order line of terms?
Answers
Answered by
1
The middle term of a 15 term sequence is 92 so this is the 8th term. The last term is 7 terms further along in the sequence so it is 92 + 7d. Likewise the first term is 7 terms before the 8th term so it is 92 - 7d. Thus the sum of the first and last term is 92 - 7d + 92 + 7d = 92 + 92 = 184.
Answered by
8
Step-by-step explanation:
Your example is an arithmetic sequence so there is some number d that you add to each term to obtain the next term. The middle term of a 15 term sequence is 92 so this is the 8th term. The last term is 7 terms further along in the sequence so it is 92 + 7d. Likewise the first term is 7 terms before the 8th term so it is 92 - 7d. Thus the sum of the first and last term is 92 - 7d + 92 + 7d = 92 + 92 = 184.
Similar questions