Question
Download Solution PDFFind the sum upto 155 term of the sequence 255, 264, 273, ...
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
A sequence 255, 264, 273, ...
Formula used :
Sum in A.P, Sn = \(\dfrac{n}{2}\times [2a+(n-1)d]\)
Calculation :
n = 155 , a = 255 , d = 264 - 255 = 9
Sn = \(\dfrac{n}{2}\times [2a+(n-1)d]\)
Sn = \(\dfrac{155}{2}\times [2\times 255 + (155 - 1)9]\)
⇒\(\dfrac{155}{2}\times [510+1386]\)
⇒ 155 x 948 = 146940
∴ The answer is 146940.
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