Question

if 8th term of an AP is 0 then what is the relation between 28th and 18th term

Answer 1

a28 is twice of a18 . Here is the whole solution

Answer 2

Answer:

$a_{28} = 2a_{18}$

Step-by-step explanation:

if 8th term of an AP is 0 then what is the relation between 28th and 18th term

we know that general term of an AP with first term a and common difference d,can be expressed as

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

here

$a_8 = a + 7d = 0 \\ \\ a = - 7d$

28th term and 18 th term

$a_{28} = a + 27d \\ \\ a_{28}= - 7d + 27d \\ \\ a_{28} = 20d \: \: \: ... eq1\\ \\ a_{18} = a + 17d \\ \\ a_{18} = - 7d + 17d \\ \\ a_{18} = 10d \: \: \: ...eq2$

from eq2 and eq1

it is clear that

$a_{28} = 2a_{18}$

Hope it helps you.