Question

find 3th term of ap: 10, 7, 4_ _ _​

Answer 1

Answer:

an=a+(n-1)d

where a is the first term

d is the common difference

a=10

n=3

d= -3

an is the last term

a3 = 10+(3-1)-3

a3 = 10-9+3

a3= 4

Answer 2

$\large\red{\sf{Solution}}$

$\large\red{\sf{Question \rightarrow find \: {4}^{th} \: term \: of \: ap }}$

$\large\red{\sf{10,7,4}}$

$\large\pink{\sf{according \: to \: question \: we \:have \: to }}$

$\large\pink{\sf{find \: the \: {4}^{th} \: term}}$

$\large\blue{\sf{the \: {4}^{th} \: term \: is \: 1}}$

$\large\blue{\sf{ \implies10 - 7 = 3}}$

$\large\blue{\sf{ \implies 7 - 3 = 4}}$

$\large\blue{\sf{Now \: we \: have \: to \:subtract \: 3 \: from \: 4}}$

$\large\blue{\sf{ \implies 4 - 3 = 1}}$

$\large\green{\sf{Verification }}$

$\large\green{\sf{ \implies 1 + 3 = 4}} \\ \large\green{\sf{ \implies 4 + 3 = 7}} \\ \large\green{\sf{ \implies 7 + 3 = 10}}$