[Math] Arithmetic Progression. Find 1st term and common difference

algebra-precalculusarithmetic-progressions

The seventh term of an A.P. is 15 and the sum of the first seven terms is 42. Find the first term and common difference.

How do I find the first term and common difference with only 1 term given?

Best Answer

Note: use that $$a_7=a_1+6d=15$$ and $$7a_1+21d=42$$

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