The first term of a geometric sequence is 12 and the sum of the first two terms is 35. Work out the sum of the first 10 terms of the sequence.

Give your answer as a decimal correct to 3 significant figures.

8745.530

Step-by-step explanation:

a₁ = 12

S₂ = 12*(1-r²)/(1-r) = 35

12*(1+r)*(1-r)/(1-r) = 12(1+r) = 35

12r = 23           r = 23/12

S₁₀ = 12*(1-(23/12)¹⁰)/(1-(23/12)

     = 8745.530

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol