SOLUTION: Find the 3rd term of an arithmetic sequence with t2 =9/2 and t5 = 6. A. 5 B. 4 C. 3 D. 2

Algebra ->  Sequences-and-series -> SOLUTION: Find the 3rd term of an arithmetic sequence with t2 =9/2 and t5 = 6. A. 5 B. 4 C. 3 D. 2       Log On


   

Question 1091989: Find the 3rd term of an arithmetic sequence with t2 =9/2 and t5 = 6.

A. 5

B. 4

C. 3

D. 2

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
given:
t%5B2%5D+=9%2F2 and t%5B5%5D+=+6
+t%5B1%5D+%2B+d+=+9%2F2......(1) where t%5B1%5D is first term and d common difference
t+%2B+4d+=+6........(2)

Subtract (1) from (2
3d+=+3%2F2
d+=+1%2F2
Sub in (1)
t%5B1%5D+%2B+1%2F2+=+9%2F2
t%5B1%5D+=+4->first term %0D%0A%0D%0AThird+term+%7B%7B%7Bt%5B3%5D=+t%5B1%5D+%2B+2d
t%5B3%5D=+4+%2B+2%281%2F2%29
t%5B3%5D=+5+

so, your answer is A. 5