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Find the 84th term of the arithmetic sequence 18, 31, 44, ...

Sagot :

Answer:

common difference = 31-18

common difference =13

from,

An=A1 +(n-1)d

A84=18+(84-1)13

A84=1097

Answer:

1097

Step-by-step explanation:

Common Difference:

d=a_2-a_1=(31)-(18)=13

d=a  

2

​  −a  

1

​  =(31)−(18)=13

a_n=a_1+(n-1)d

a  

n

​  =a  

1

​  +(n−1)d

\text{84th term:}

84th term:

a_{84}=18 + (84-1)(13)

a  

84

​  =18+(84−1)(13)

a_{84}=18 + (83)(13)

a  

84

=18+(83)(13)    a_{84}=1097      a  84

​ =1097