Question

What is the 31st term of the arithmetic sequence for 1.77, 1.92,2.07

Answer 1

Given that sequence 1.77, 1.92,2.07 is arithmetic sequence.

Using that we have to find 31st term.

To find that we can use nth term formula of arithmetic sequence which is given by:

$t_n=a_1+(n-1)d$

where n is the number of term so n=31

t_n indicates nth term

a_1 is the first term so a_1=1.77

r is the common difference which is given by difference of consecutive terms

then r=1.92-1.77=0.15

Now plug these values into above formula

$t_n=a_1+(n-1)d$

$t_{31}=1.77+(31-1)*0.15$

$t_{31}=1.77+(30)*0.15$

$t_{31}=1.77+4.5$

$t_{31}=6.27$

Hence final answer is 6.27.