the sequence a, b, 10,c,d are in AP ,then a+b+c+d
Answers
Answer:
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Step-by-step explanation:
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The value of a + b + c + d = 40
Given :
The sequence a , b , 10 ,c , d are in AP
To find :
The value of a + b + c + d
Solution :
Step 1 of 2 :
Assume the terms
Here it is given that the sequence a , b , 10 ,c , d are in AP
Let us assume that
a = m - 2k , b = m - k , 10 = m , c = m + k , d = m + 2k
Where First term = m - 2k and common difference = k
Step 2 of 2 :
Find the value of a + b + c + d
a + b + c + d
= ( m - 2k ) + ( m - k ) + ( m + k ) + ( m + 2k )
= 4m
= 4 × 10
= 40
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