Find the sum of the following gp: 6,12, 10term and 1,-1/2,1/4,1/8,1/ 20term

Sₙ = 6 x (1 - 2¹⁰) / (1 - p) = 6 x 1023 = 6138

S'ₙ =2.52

Step-by-step explanation:

sum of this sequence: Sₙ = A₁ x (1 - pⁿ) / (1 - p)

Sₙ: sum of n terms

A₁: initial value 6

p: common ratio 2

n: terms 10

Sₙ = 6 x (1 - 2¹⁰) / (1 - p) = 6 x 1023 = 6138

Is there any mistake in the 2nd question - about the common ratio (-1/2)?

S'ₙ =1 + (-1/2) + 1 x (1 - (1/2)¹⁸)) / (1 - (1/2)) = 1/2 + 2 x  (1 - (1/2)¹⁸)

S'ₙ = 1/2 + 2 x (1 - 1/262144) = 1/2 + 262143/130072= 0.5 +2.02 = 2.52

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

or