Math, asked by tinygiggle21, 10 months ago

find the 25th term of the sequence 2,5,8,11,14...

Answers

Answered by Vishal101100

$<body bgcolor=yellow><marquee><font color=blue>$

A25 = a+(n-1)d

A25 = 2 +24×3 = 74

Answee = 74

Answered by Anonymous

GIVEN:

★A sequence that is 2,5,8,11....

TO FIND:

★25th term of the sequence.

CONCEPT USED:

★This is a question of arthmetic progression, so we will be using it's nth term formula.

ANSWER:

Let the 25th term be $t_{25}$

Here common difference is 5-3=2.(d)

$n_{th}$ of A. P. is given by ,

$\large\green{\boxed{t_{n}=a+(n-1) d}}$

=> $t_{25}=2+(25-1) 3$

=> $t_{25}=2+24×3$

=> $t_{25}=2+72$

=> $t_{25}=74$

Hence the 25th term is 74.

$\huge\orange{\boxed{t_{25}=74}}$

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