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# How many terms of the arithmetic sequence 88, 85, 82, . . . appear before the number -17 appears?

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How many terms of the arithmetic sequence 88, 85, 82, . . . appear before the number -17 appears?

Oct 6, 2018

### Best Answer

#1
+1

[L - F] / D + 1 = N, where L=Last term, F=First term, D=Common difference, N=Number of terms

[-17 - 88] / -3 + 1 =N

[- 105] / - 3 + 1 = N

[-105/-3] + 1 = N

35       + 1 =N

N = 36 - So -17 is the 36th term - 1 =35 terms before -17 appears.

Oct 7, 2018

### 1+0 Answers

#1
+1
Best Answer

[L - F] / D + 1 = N, where L=Last term, F=First term, D=Common difference, N=Number of terms

[-17 - 88] / -3 + 1 =N

[- 105] / - 3 + 1 = N

[-105/-3] + 1 = N

35       + 1 =N

N = 36 - So -17 is the 36th term - 1 =35 terms before -17 appears.

Guest Oct 7, 2018