Verbal Reasoning - Series Completion - Discussion

Discussion Forum : Series Completion - Section 2 (Q.No. 18)
Directions to Solve

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.


18.
Which term of the series 5, 8, 11, 14,.....is 320?
104th
105th
106th
64th
Answer: Option
Explanation:

Clearly, 5 + 3 = 8, 8 + 3 = 11, 11 + 3 = 14, .....

So, the series is an A.P. in which a - 5 and d = 3.

Let 320 be the nth term of the series.

Then, 320 = 5 + (n - 1) x 3 or (n - 1) = 105 or n = 106.

Discussion:
8 comments Page 1 of 1.

Hariom singh said:   5 months ago
Please explain in detail.

Janhavi Landge said:   1 year ago
an = a+(n-1)d.
320 = 5+(n-1) * 3.
320-5 = (n-1) * 3.
315/3 = (n-1).
105 = n-1.
105+1 = 106.
Answer : 106.

Mirza atiq baig said:   2 years ago
an = a+(n-1)d.
320 = 5+(n-1)*3.
320-5 = (n-1)*3.
315รท3 = (n-1).
105 = n-1.
105+1 = 106.
Answer:106.

Raji said:   8 years ago
a+(n-1)d by this formula they given the answer we just want to calculate the nth term (i.e) a=5,d=3 n=?

So, 5+(n-1)3=320 by solving this equation we get the value of n.

Yatindra said:   9 years ago
Use the formula,

2^(x - 1) + 2^(x + 1) = 320.
(1)

Jayasree said:   9 years ago
What is 320 here?

Abhi said:   9 years ago
I think, a is the first term.

Himanshu said:   1 decade ago
Remember, the formula for finding nth term in an Arithmetic Progression(AP) is :

nth term = a+(n-1)d.

Where,

a is last term.
d is the difference.

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