Question

Write the next four terms of A.P:- 2, -2, -6, -10
Write as it was in exams for 2 marks (step by step)

Answer 1

Answer:

-14, -18, -22, -26

Step-by-step explanation:

AP: 2,-2,-6,-10

We have a gap of (a2-a1) ----> formula

Therefore: (-2 - 2 = -4)

Hence : the next four terms will be a4 = -10

then, we have (a4 - the gap)

i.e., (-10 -4 = -14) ---> a5

and (-14-4= -18) ---->a6

and (-18-4 = -22) ---->a7

and finally : (-22-4=-26) ---->a8.

Answer 2

Correct question:

Write the next four terms of the arithmetic progression - 2, -6, -10.

Final Answer:

The next four terms of the arithmetic progression - 2, -6, -10 are the numbers -14, -18, -22, and -26 respectively.

Given:

The terms of the arithmetic progression are given as -2,  -6, and -10.

To Find:

The next four terms of the arithmetic progression - 2, -6, -10

Explanation:

An arithmetic progression (AP) has sequential numbers with the same common difference between any two consecutive numbers in the sequence.

To solve this problem, first, identify the first term of the AP and then the common difference.

Step 1 of 3

Note the following from the given first four terms of the arithmetic progression, which are - 2, -6, and -10 respectively.

• The first term of the AP $=-2$
• The second term of the AP $=-6$

Step 2 of 3

Calculate the common difference of the AP in the following way.

The common difference

=The second term of the AP - The first term of the AP

=The third term of the AP - The second term of the AP

$=(-6)-(-2)\\=-6+2\\=-4$

Step 3 of 3

Now, add the common difference with any positioned number in the AP to get the next numbers sequentially.

We get the following numbers next to -10 in the AP.

$(-10)+(-4)=-10-4=-14\\(-14)+(-4)=-14-4=-18\\(-18)+(-4)==-18-4=-22\\(-22)+(-4)=-22-4=-26$

Therefore, the required next four terms of the arithmetic progression - 2, -6, -10 are the numbers -14, -18, -22, and -26 respectively.

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