Question

if the common difference of an AP is2,then find a5-a3​

Answer 1

Answer:

The value of a₅ - a₃ is 4.

Step-by-step-explanation:

We have given that,

For an AP,

Common difference ( d ) = 2

We have to find a₅ - a₃.

Now, we know that,

aₙ = a + ( n - 1 ) * d

⇒ a₅ = a + ( 5 - 1 ) * 2

⇒ a₅ = a + 4 * 2

⇒ a₅ = a + 8

Now, using the formula,

aₙ = a + ( n - 1 ) * d

⇒ a₃ = a + ( 3 - 1 ) * 2

⇒ a₃ = a + 2 * 2

⇒ a₃ = a + 4

Now, we have to find

a₅ - a₃

⇒ a + 8 - ( a + 4 )

⇒ a + 8 - a - 4

⇒ a - a + 8 - 4

⇒ 4

∴ The value of a₅ - a₃ is 4.

Answer 2

$\underline{ \bold{ \boxed{ \sf \: question}}}$

➠if the common difference of an AP is

2,then find a5-a3

★To find

➽a_5-a_3

➽a_n=a+(n+1)*d

➽a_5=a+(5-1)*2

➽a_5=a+4*2

➽a_5=a+8

✠Using formula,

➠a_n= a+(n-1)*d

➠a_3=a+(3-1)*2

➠a_3=a+2*2

➠a_3=a+4

★We have Find

➽a_5-a_3

➽a+8=(a+4)

➽a+8-a-4

➽a-a+8-4

➽= 4

The value of a_5-a_3is 4