Question

Write the value of $a_{30} - a_{10}$ for the A.P. 4, 9, 14, 19, ....

Answer 1

Answer:

The value of a30 – a10 is 100.  

Step-by-step explanation:

Given :  

AP 4, 9, 14, 19, ……….

Here a1 = a = 4, a2 = 9, a3 = 14

common difference,(d) = a3 – a2 = a2 – a1  

d = 14 – 9 = 9 – 4  

d = 5

For 30th term (a30) :  

By using the formula ,an = a + (n - 1)d

a30 = a + (n - 1) d

a30 = 4 + (30 -1) 5

a30 = 4 + 29 × 5

a30 = 4 + 145

a30 = 149

For 10th term (a10) :  

a10 = a + (n - 1) d

a10 = 4 + (10 -1) 5

a10 = 4 + 9 × 5

a10 = 4 + 45

a10 = 49

The value of  a30 – a10 :  

a30 – a10 = 149 – 49

a30 – a10 = 100

Hence, the value of a30 – a10 is 100.  

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

Answer:

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