SOLUTION: which term in the sequence -3, -6, -9, -12...is -30?

Question 1185748: which term in the sequence -3, -6, -9, -12...is -30?

Found 2 solutions by ikleyn, math_helper:
Answer by ikleyn(52790) (Show Source): You can put this solution on YOUR website!
.

The sequence is = -3n, n = 1, 2, 3, . . . The number " -30 " is the 10-th term of the sequence.

Solved.

Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

First term = -3
2nd term = -6
Common difference is -3
Nth term is = -3 - 3*(N - 1)
So we set and solve for N:
-30 = -3 + -3*(N-1)
-27 = -3*(N-1)
N-1 = 9
N = 10 (the 10th term is -30)
RELATED QUESTIONS
What is the 17th term in the arithmetic sequence in which a^6 is 101 and a^9 is... (answered by richwmiller)
In the sequence 3, 9, 27, 81 ... the first term is 3 and each following term is 3 times... (answered by MathLover1)
sara says that 1008 is a term in the sequence 6, 9, 12, 15 explain why she is... (answered by ikleyn)
What is the next term in this sequence and how do you get it? 9,-3,1 12,-6 (answered by AnlytcPhil)
which of the missing term in this arithmetic sequence 23, 18,13,8,3 ___, -7,-12? (answered by ikleyn)
12^10, (12^10 + 12^10), (12^10 + 12^10 + 12^10), ... In the sequence above, the first... (answered by KMST)
What is The next number in the sequence 3, 2, 6, 4, 9, 6, 12,... (answered by MathIsHard_Yay)
The first difference of a sequence is 3, 6, 9, 12, 15... Find the first six terms of the (answered by chessace)
``write the first six terms of the sequence 2. an=(n+1)^3 4. an=n/n+3 write the... (answered by CubeyThePenguin)