Question

find the 25th term of an AP 5,9,13,17​

Answer 1

101

Step-by-step explanation:

n = 25

a = 5

d = 9 - 5 = 4

formula = tn = a + ( n - 1 ) d

by formula,

tn = a + ( n - 1 ) d

t25 = 5 + ( 25 - 1 ) × 4

t25 = 5 + 24 × 4

t25 = 5 + 96

t25 = 101

Hence, 25th term of A. P. is 101

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Answer 2

Answer:

$\huge\star\mathcal{\underline{\underline{\color{aqua}{Answer}}}}$

Given:-

a1 = 5

d = a2-a1

= 9-5

$\large\fbox{d\: =\:4}$

To find:-

a25

Proof:-

$a25 = a + 24d$

$a25 = 5 + 24 \times 4$

$a25 = 5 + 96$

$\huge\tt{\fbox{\fbox{\fbox{\color{skyblue}{a25\:=\:101}}}}}$

$\huge{\fbox{\fbox{\color{red}{Note:-}}}}$

This question can also be solved by using the formula for an i.e.

an = a+(n-1)d

$\huge{\fbox{\fcolorbox{green}{brown}{Be\: brainly}}}$