Class 10 Ex 5.2 Ch-5 AP NCERT Solution, Q1- Fill in the blanks in the following table

Class 10 Ch-5 Arithmetics Progression Exercise-5.2

Quesition1: Fill in the blanks in the following table, given that a is the first term, d the common difference, and $a_n$ the nth term of the AP:

Solution: (i) a = 7, d = 3, n = 8, $a_n$ = ?

$a_n$ = a + (n-1)d

           = 7 + (8-1)3    
           = 7 + 21

Therefore, $a_n$ = 28

(ii) a = -18, d = ?, n = 10, $a_n$ = 0

$a_n$ = a + (n-1)d

0 = -18 + (10-1)d

18 = 9d

d = ${18}/9$

Therefore, d = 2

(iii)a = ?, d = -3, n = 18, $a_n$ = -5

$a_n$ = a + (n-1)d

-5 = a + (18-1)(-3)

-5 = a -51

a = 51 - 5

Therefore, a = 46

(iv) a = -18.9, d =2.5, n = ?, $a_n$ = 3.6

$a_n$ = a + (n-1)d

3.6 = -18.9 + (n-1)2.5

22.5 = (n-1)2.5

n-1 = ${22.5}/{2.5}$

n - 1 = 9 

Therefore, n = 10

(v)a = 3.5, d = 0, n = 105, $a_n$ = ?

$a_n$ = a + (n-1)d

$a_n$ = 3.5 + (105-1)0

$a_n$ = 3.5

           

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