98 is the term of the arithmetic sequence having common difference 7 is 2016 is the term of this sequence? why?
Answers
Answer:
Yes
Step-by-step explanation:
In the image attached.
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2016 is a term of the given AP
Given:
98 is a term in an Ap
To Find:
Whether 2016 is a term in Ap
Solution:
Given that the common difference of the Ap is 7.
If (2016 – 98) is a multiple of 7(Common difference)
then,2016 is a term for the arithmetic sequence.
2016 – 98 = 1918
1918/7 = 274
When we consider 98 as the first term of the AP then the 275 term of the Ap will be 2016.
Therefore, 2016 is a term of the given AP
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