what is the common difference of an A.P in which a10-a8=42
a)15
b)12
c)9
d)21
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Answer:
Your question's answer
Step-by-step explanation:
a10=a+(10-1)×d
a8= a+(8-1)×d
using a10-a8 =42
a+9d-(a+7d)=42
a+9d-a-7d=42
2d=42
d=42/2
d=21
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SOLUTION
TO CHOOSE THE CORRECT OPTION
The common difference of an A.P in which
a) 15
b) 12
c) 9
d) 21
FORMULA TO BE IMPLEMENTED
If in an arithmetic progression
First term = a and common difference = d
Then nth term of the Arithmetic progression is
EVALUATION
Let a be the First term and d be the Common Difference of the given Arithmetic progression
Then
Again
Now by the given condition
FINAL ANSWER
The common difference of an A.P in which
d) 21
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