Question

For an A.P. 8th term is 17. Write an equation
relating a and d.​

Answer 1

Answer:

Req. Solution:

a + 7d = 17

Step-by-step explanation:

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

So,

a(8) = a + 7d

> 17 = a + 7d

Answer 2

Given:

nth term= 8

value= 17

sequence type= arithmetic proggression

To Find:

Equations relating to a and d

Firstly we need to find the formula for an Arithmetic progression:

a{n}=a{1}+(n-1)d

Now we substitute the values we were given:

17= a + (8-1)d

Now we find the equation relating to a

17= a + (8-1)d

In this step we will solve the bracket to find the value

17 = a + 7d  

Now we take the values apart from the to the other side

17-7d= a

This is an equation that can be used to find a

Now we find the equation relating to d

17= a + (8-1)d

In this step we will solve the bracket to find the value

17 = a + 7d  

Now we take the values apart from the to the other side

17-a= 7d

Once more

17-a /7= d

Solution:

Equation relating to a= 17-7d= a

Equation relating to d = 17-a /7= d