TRUE or FALSE (Terms in sequences)?

If we have a geometric sequence with initial term a and ratio r, then the formula for the n-th term of the corresponding geometric series is given by


Sn = a 1-r


............-----


............1-r^nTRUE or FALSE (Terms in sequences)?
False;





For a geometric sequence, Sn = a₁(1-rⁿ)/(1-r), gives Sn, the sum of all of the terms in the sequence (up to term n).





To find the nth term of a geometric series, the formula is an = a₁rⁿ⁻¹





an : nth term


a₁ : first ['initial'] term


r : ratio


Sn : sum of the sequence to the nth term


n : number of terms





[Formulas are for 'n' beginning at 1; if you're used to 'n' beginning at 0, plug in 'ⁿ' where I put 'ⁿ⁻¹' and 'ⁿ⁺¹' where I put 'ⁿ']