Hi,

If the 4th term of an arithmetic sequence is 31 and the 8th term of the sequence is 59, find the 1st term of the sequence. 







 a1 + 7d = 59 

 a1 + 3d = 31    |subtracting 2nd EQ from 1st

     4d = 28

      d = 7    and     (a1 = 59-49)

 CHECKING our answer***

 

RELATED QUESTIONS

The 4th term of an arithmetic sequence is 16.The 8th term is four times the 1st term.... (answered by robertb)

The 4th term of an arithmetic sequence is 28 and the 7th term is 43. Find the 79th... (answered by stanbon)

the 3rd term of a linear sequence is twice the 1st term and the 8th term of the sequence... (answered by ikleyn)

the 3rd term of a linear sequence is twice the 1st term and the 8th term of the sequence... (answered by ikleyn)

The 1st term of an arithmetic sequence is 6 times the 5th term. The sum of the 2nd and... (answered by richwmiller)

Find the 1st term of the arithmetic sequence with 11th term −1 and 21th term... (answered by josgarithmetic,MathTherapy)

In an arithmetic sequence the 8th term is twice the 4th term and the 20th term is 40.... (answered by mananth)

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

the 8th term of an arithmetic sequence and the 14th term is 116, determine the rule for... (answered by josgarithmetic)