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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 25th term of this arithmetic sequence? 3, 9, 15, 21, 27, …
Solution:
A sequence in which the difference between all pairs of consecutive numbers is equal is called an arithmetic progression.
The sequence given is 3, 9, 15, 21, 27, …
Here a1 = 3
d = 9 - 3 = 6
The formula to find the nth term of an arithmetic sequence is
an = a1 + (n - 1)d
Substituting the values
an = 3 + (n - 1)6
We have to find the 25th term n = 25
a25 = 3 + (25 - 1)6
a25 = 3 + (24)6
a25 = 3 + 144
a25 = 147
Therefore, the 25th term is 147.
What is the 25th term of this arithmetic sequence? 3, 9, 15, 21, 27, …
Summary:
The 25th term of this arithmetic sequence 3, 9, 15, 21, 27, … is 147.
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