How To Work Out A GP?

Identify the starting value

Identify the ending value

Divide the ending value by the starting value

If needed, calculate the common ratio between terms

Use the formula: GP nth term = a × r^(n-1)

Use the formula: Sum of first n terms = a(r^n – 1) / (r – 1) for r ≠ 1

Use the formula: Sum to infinity = a / (1 – r) for |r| < 1

Substitute the known values into the relevant formula

Solve for the unknown value

Check the result against the sequence pattern

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