Question

-11,-8,-5,-2,.... the next number in the series is

Answer 1

Hey!!!your answer
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In this series they are adding +3
so the next number will be -2+3=1

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hope this helps....
✌✌be brainly

Answer 2

Given,

-11,-8,-5,-2, _

To Find,

The next number in the series =?

Solution,

We can solve the question as follows:

It is asked that we have to find the next number in the series -11, -8,-5, -2.

First, we will check if the given series is in arithmetic progression or not.

In an arithmetic progression, the difference between any two consecutive terms is always a constant. Here,

$-8 - (-11) = 3$

$-5 - (-8) = 3$

$-2 - (-5) = 3$

Since the difference between two consecutive terms is a constant, the given series is in A.P.

Now, we have to find the 5th term.

The formula for the nth term of an A.P. is given as:

$T_{n} = a + (n - 1)d$

Where,

$a = First\: term$

$n = nth\: term$

$d = Common\: difference$

In the given series,

$a = -11$

$n = 5$

$d = 3$

Substituting the values in the formula,

$T_{5}= (-11) + (5 -1)3$

    $= -11 + 4*3$

    $= -11 + 12$

    $= 1$

Hence, the 5th term is equal to 1.