Question

if the common difference of an ap is 5 then what is a 18 - a13

Answer 1

$\textbf{Given:}$

$\text{In an A.P, d=5}$

$\textbf{To find:}$

$a_{18}-a_{13}$

$\textbf{Solution:}$

$\text{We know that,}$

$\text{The n th term of the A.P a, a+d, a+2d, ....... is}$

$\boxed{\bf\,a_n=a+(n-1)d}$

$\text{Consider,}$

$a_{18}-a_{13}$

$=(a+17d)-(a+12d)$

$=a+17d-a-12d$

$=5d$

$=5(5)$

$=25$

$\textbf{Answer:}$

$\textbf{The value of \bf\,a_{18}-a_{13} is 25}$

Find more:

1.The 7th and 17th term of an arithmetic progression are 33 and 83 respectively find the ap

https://brainly.in/question/15028631

2.If 8 times the 8th term of an AP is equal to 15 times its 15th term then find the 23rd term.

https://brainly.in/question/6155736

Answer 2

Answer:

Heya buddy...

Given...d=5

By given condition...

a18 - a13 = a+17d - (a+12d)

= a+17d -a -12d

= 17d - 12d

= 5d

= 5(5)

= 25

Thus, your correct answer is 25

Your thanking means a lot to me so please give me a small thanks and mark my answer as Brainliest if you like the answer and if possible follow me up....

Thank you...