Find the sum upto 155 term of the sequence 255, 264, 273, ...

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UP Police SI (दरोगा) Official PYP (Held On: 25th Nov 2021 shift 3)
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  1. 126940
  2. 146940
  3. 116940
  4. 136940

Answer (Detailed Solution Below)

Option 2 : 146940
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यूपी पुलिस SI (दरोगा) सामान्य हिंदी मॉक टेस्ट
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Detailed Solution

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Given :

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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