Find the next term of the given sequence. 1.31, 2.54, 3.77, 4.90 5.00 5.10

It is A.P. with common difference = 2.54-1.31 = 1.23

So, next term would be 3.77+1.23 = 5.00

OPTION B IS YOUR ANSWER

Option B is correct.

the next term of the sequence is 5.00

Explanation:

Arithmetic progression(A.P) is a sequence of numbers in which the consecutive terms are formed by adding a constant quantity with the preceding term.

Common difference(d) is the constant quantity stated in the above definition of arithmetic progression. it is given by;

for all n∈N

Given sequence:-  1.31, 2.54 , 3.77 , ___ ;

we have;

, and  

First find the common difference;

=

or

d =

Therefore, by the definition of arithmetic progression,

the given sequence is Arithmetic progression

Now, to find the fourth term of the sequence, add constant quantity (d) to the third term;

Therefore, in the given sequence next term will be 5.00.

step-by-step explanation:

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