39.6k views
2 votes
What is the 15th term of the following sequence? -0.25, 0.5, 1.25, 2, 2.75...

User FlxPeters
by
7.7k points

1 Answer

6 votes

Answer:

The 15th term is 10.25

Explanation:

Sequences

The given sequence:

-0.25, 0.5, 1.25, 2, 2.75...

can be categorized as an arithmetic sequence. To better know, we try to find a common difference between successive terms:

0.5 - (-0.25) = 0.75

1.25 - 0.5 = 0.75

2 - 1.25 = 0.75

Once we are certain it's an arithmetic sequence, we find the general term by using the formula:


a_n=a_1+(n-1)r

Where n is the number of the term, a1 is the first term, and r is the common difference. We have already found that:

r=0.75

a1=-0.25

The 15th term (n=15) is:


a_(15)=-0.25+(15-1)*0.75


a_(15)=-0.25+14*0.75


a_(15)=-0.25+10.5=10.25

The 15th term is 10.25

User Casey Marshall
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.