Aptitude - Numbers - Discussion

Discussion Forum : Numbers - General Questions (Q.No. 87)
87.
The sum of how many terms of the series 6 + 12 + 18 + 24 + ... is 1800 ?
16
24
20
18
22
Answer: Option
Explanation:

This is an A.P. in which a = 6, d = 6 and Sn = 1800

Then, n [2a + (n - 1)d] = 1800
2

  n [2 x 6 + (n - 1) x 6] = 1800
2

3n (n + 1) = 1800

n(n + 1) = 600

n2 + n - 600 = 0

n2 + 25n - 24n - 600 = 0

n(n + 25) - 24(n + 25) = 0

(n + 25)(n - 24) = 0

n = 24

Number of terms = 24.

Discussion:
15 comments Page 2 of 2.

Vetri said:   8 years ago
Please explain me 3rd step.

How you get 3n(n+1)=1800?
(1)

Dipu samanta said:   3 years ago
Why let 25n and 24n? Please explain me.
(1)

Biswajit borah said:   3 years ago
Please explain, How come 25 and 24?
(1)

Lahari said:   7 years ago
Please explain me the 3rd step.
(1)

Suyog said:   9 years ago
Nice move @Albin.
(1)


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