Find the next number in the series 143 143 136 110 ? 91 35 47 69 The next number

1. In the given number series which follows the definite rules then find out the value of (M, N, O, and P) in second number series. 7 18 42 94 204 4 M N O P What value will come in place of P?
Options
A. 179
B. 184
C. 164
D. 156

Discuss

2. Find the sum of the Arithmetic Series upto 36 terms 2, 5, 8, 11,...
Options
A. 3924
B. 1962
C. 1684
D. 1452

Discuss

Correct Answer: 1962

Explanation:

Arithmetic Series ::

An Arithmetic Series is a series of numbers in which each term increases by a constant amount.

How to find the sum of the Arithmetic Sequence or Series for the given Series ::

When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence.

That is given by $S_{n} = \frac{n (a_{1} + a_{n})}{2}$ Where n = number of terms, a1 = first term, an = last term

Here Last term is given by $a_{n} = a_{1} + (n - 1) d$ where d = common difference

Now given Arithmetic Series is

2, 5, 8, 11,...

Here a1 = 2, d = 3, n = 36

Now, $a_{n} = a_{1} + (n - 1) d a_{36} = 2 + (36 - 1) 3 = 105 + 2 = 107$

Now, Sum to 36 terms is given by

$S_{36} = \frac{36 (2 + 107)}{2} = \frac{36 x 109}{2} = \frac{3924}{2} = 1962$

Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.

3. Please enter the Missing number: 4 8 14 22 ?
Options
A. 28
B. 32
C. 46
D. 36

Discuss

4. 311, 230, 294, ?, 281, 256 What will come in place of the question mark (?) in the above number series?
Options
A. 240
B. 245
C. 244
D. 246

Discuss

5. In following number series only one number is wrong. Find out that wrong or odd number in the series? 6, 78, 858, 7722, 54055, 270270
Options
A. 270270
B. 54055
C. 7722
D. 858

Discuss