Question

if 4 number are in AP whose sum is 24 the first term is
​

Answer 1

Step-by-step explanation:

I hope you got it

Answer 2

Given:

We have given the sum of 4 numbers in A.P. is 24.

To Find:

We have to find the first term of A.P?

Step-by-step explanation:

• We have given the sum of 4 terms of A.P is 24.
• We know the formula of the sum of n terms of A.P is given by the formula

        $S_n=\frac{n}{2} (2a+(n-1)d)$

• Where the a is the first term, d is the common difference and n is a number of terms.

• Now put the values of n is 4 in the above equation of sum of terms of number.

        $24=\frac{4}{2} (2a+(4-1)d)$

• Now simplify the above equation by solving the brackets term.

       $24=2 (2a+3d)$

• Simplify the term of brackets by multiplying them.

        $24=4a+6d$

• Now take the 4a to left hand side of equation.

       $-4a=6d-24\\4a=24-6d\\a=\frac{24-6d}{4}$

Hence, the value of a is $\frac{24-6d}{4}$