Monday, September 22, 2014

Today Apti (23th sep 2014)

find the sum 1, 4.5, 8, .............155?

a. 3220    b.  3510   c. 3624  d. none of these

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Answer:

The series above is an AP because  4.5 -1 = 8-4.5

common difference d = 4.5 -1 = 3.5

step 1.  find number of terms in the AP

tn = a + (n-1) d
155 = 1 + (n-1) * 3.5  ............(1)

solving (1) n =45

step 2 :

Number of terms * Average of first and last term

= 45 * (155+1)/2 = 3510


 

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