Question

4th team from the end of the AP 3,8,13,........,83 is..............​

Answer 1

$\huge{\underline{\bf{\purple{Question:-}}}}$

fourth term from the last of the AP 3,8,13...........83 is ________.

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$\large{\underline{\bf{\pink{Answer:-}}}}$

14th term from the last is 68.

$\large{\underline{\bf{\purple{Explanation:-}}}}$

$\large{\underline{\bf{\green{Given:-}}}}$

✰ AP is given as 3,8,13,........83.

$\large{\underline{\bf{\green{To\:Find:-}}}}$

✰ we need to find the 4th term from the last.

$\huge{\underline{\bf{\red{Solution:-}}}}$

common difference = 8-3 = 5

                                  = 13-8 =5

so the common difference is 5.

First term = 3

last term = 83

Now ,

we know that an = a + (n -1 )d

➩            83 = 3 + (n - 1)5

➩            83 - 3 = (n -1)5

➩            80/5 = (n -1)

➩            16 = (n -1)

➩            16 +1 = n

➩            n = 17.

so the 4th term from the last is 14th term

14th term = a + 13d

14th term = 3 + 13× 5

14th term = 3+65

14th term = 68

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Answer 2

Step-by-step explanation:

Given -

• AP = 3, 8, 13, ......... 83

To Find -

• 4th term of the AP from the end

As we know that :-

• an = a + (n - 1)d

here,

a = 3

d = 8-3 = 5

an = 83

Then,

» 83 = 3 + (n - 1)5

» 83 - 3 = (n - 1)5

» 80 = (n - 1)5

» n - 1 = 80/5

» n - 1 = 16

» n = 16 + 1

• » n = 17

So,

The 4th term from the end is 14th term

• 14th term = a + 13d

» 3 + 13(5)

» 3 + 65

• » 68

Hence,

4th term of the AP from the end is 68.