A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
What is the 32nd term of the arithmetic sequence where a1 = 13 and a13 = -59?
Solution:
The nth term of an arithmetic sequence whose first term is a1 and common difference is d is
a1 + (n - 1) d
It is given that
a1 = 13 and a13 = -59
We know that
a13 = a1 + (13 - 1) d
13 + 12d = - 59
12d = -59 - 13
12d = -72
d = -72/12
d = -6
Now we have to find the 32nd term
a32 = a1 + (32 - 1) d
Substituting the values
a32 = 13 + (31) (-6)
a32 = 13 - 186
So we get
a32 = -173
Therefore, the 32nd term is -173.
What is the 32nd term of the arithmetic sequence where a1 = 13 and a13 = -59?
Summary:
The 32nd term of the arithmetic sequence where a1 = 13 and a13 = -59 is -173.
Math worksheets and
visual curriculum
visual curriculum