# Combined Arithmetic Geometric Progression

**Algebra**Level 4

We have three numbers in an Arithmetic Progression, and another three numbers in a Geometric Progression. Adding the corresponding terms of the series we get \( 120 , 116 , 130 \). If the sum of all the terms in the Geometric Progression is \( 342 \), what is the largest term in the Geometric Progression?

**Details and assumptions**

If the terms of the AP are A, B, C, and the terms of the GP are X, Y, Z, then **adding the corresponding terms** will give us A+X, B+Y, C+Z.