1.

The nth term of an arithmetic progression is an = 4n+5 then the 3rd term is​

Answer»

\huge\tt\underline\purple{given✔}

an-4n+5

to find - 3 rd TERM ?

SolUtIoN

ap is

LET n-1

4n+5

4*1+5

4+5

=9

,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

let n-2

4*2+5

8+5

=13

,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, , ,,,,,,,

let n-3

4*3+5

=17

ap is 9,13,17 ,,,,,,,,,,,

HENCE third term is 17

verifying

an=a+(n-1)d

17=9+(n-1)4

17-9=(n-1)4.

8=(n-1)4

2=(n-1)

2+1=n

3=n

\huge\tt\underline\pink{☁⭐Thanks⭐☁}

hope its helpful


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