C: 4 is the right answer
Step-by-step explanation:
Given
a1 = -3
a15 = 53
We know that explicit formula for the arithmetic sequence is:
[tex]a_n=a_1+(n-1)d[/tex]
For the 15th, term it will be
[tex]a_{15}=-3+(15-1)d\\53=-3+14d[/tex]
Adding 3 on both sides
[tex]53+3 = -3+3 + 14d\\56 = 14d[/tex]
Dividing both sides by 14
[tex]\frac{56}{14}=\frac{14d}{14}\\d=4[/tex]
Hence,
C: 4 is the right answer
Keywords: Arithmetic sequence, Common Difference
Learn more about arithmetic sequence at:
- brainly.com/question/12896802
- brainly.com/question/12973601
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