Makahanap ng mga solusyon at sagot sa lahat ng iyong katanungan sa IDNStudy.com. Magtanong ng anumang bagay at makatanggap ng detalyadong sagot mula sa aming komunidad ng mga eksperto.

In the arithmetic sequence -7, -4, -1, 2, ... , what term is 44 ?

Sagot :

We have -7 as the 1st term, we have 3 as the common difference so:
[tex]n= \frac{a_n-a_1}{d} +1= \frac{44+7}{3} +1 =\frac{51}{3} +1=18[/tex]
The formula for the arithmetic sequence is:
[tex]a_n=a_1+d(n-1)[/tex]

To find the common difference:
-7, -4
The common difference is 3, so:

To find what term is 44:
[tex]44=-7+(n-1)3[/tex]
Add 7 to both sides
51=3(n-1)
Distribute
51=3n-3
Add both sides by 3
3n=54
Divide both sides by 3
n=18

Therefore, 44 is the 18th term. Hope this helps =)