SOLUTION: Given an arithmetic sequence -11,2,15..., if T(m) is the first term that exceeds 200, find the value of m.

Question 1088543: Given an arithmetic sequence -11,2,15..., if T(m) is the first term that exceeds 200, find the value of m.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
-11,2,15...
:
200 = -11 + 13(m-1)
:
13(m-1) = 211
:
13m -12 = 211
:
13m = 223
:
m = 17
:
for m = 17
:
T(17) = -11 +13(17-1) = 197
T(18) = -11 +13(18-1) = 210
:
*********************************************************
m = 18, T(18) = 210 > 200, is first term that exceeds 200
*********************************************************
:

RELATED QUESTIONS
Given the arithmetic sequence 2, 6, ... If t(0) is the first term find a formula for... (answered by psbhowmick)

1. What must be the value of k so that 5k-3, k+2, and 3k-11 will form an arithmetic... (answered by ikleyn,MathTherapy)

Please I will Cashapp 10$ If anyone can solve it it's due today I really need help.... (answered by Boreal)

The sum of the first n terms of an arithmetic sequence is (2n^2)-n. Find the general term (answered by MathLover1)

In an arithmetic sequence, the mth and nth term are n and m, respectively. What is its... (answered by stanbon)

Suppose that the eighth term of an arithmetic sequence is 59, and also suppose that the... (answered by mananth)

An arithmetic sequence of 15 terms has a sum of 3060. The common difference and each... (answered by greenestamps)

The tenth term of an arithmetic sequence is 42 more than the seventh term .If the first... (answered by richwmiller)

The fourth term of an arithmetic sequence is 17, and the sixth term is 11. Find the... (answered by josgarithmetic,greenestamps)