The 11th term of an arithmetic progression is 14 and the sum of the first 26 terms is 416. Find the first term and the common difference.​

The first term is 6; the common difference in 0.8.

Step-by-step explanation:

The nth term is:

The sum of the first n terms is:

       Equation 1

       Equation 2

Equation 1 and Equation 2 form a system of equations in 2 unknowns.

To eliminate a_1, subtract 26 times Eq. 1 from Eq. 2.

The first term is 6; the common difference in 0.8.

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step-by-step explanation:

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.