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.

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2