Math, asked by SaiShivanee1616, 10 months ago

Fill the two blanks in the sequence 2,_,26_,so 5that the sequence forms an ap

Answers

Answered by raju35652
2

Step-by-step explanation:

let x is the second term

x-2=26-x

2x=28

x=14

2,14,26,38.......

Answered by trulyasian009
1

STEP BY STEP EXPLANATION

Here,

First term (a)= 2

Let x and y be the required terms of the AP such that

2, x , 26, y

In an AP, Common difference (d) is always same

Therefore

a \\ x - 2 = 26 - x\\ 2x = 28 \\ x = 14

Hence, the second term is 14.

2, 14, 26, y

For the calculation of fourth term

a= 2

d = 14-2=12

HENCE FOURTH TERM = 26+d = 26+12= 38

Required AP

2, 14, 26, 38

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