In a specific sequence, every term after the first is one less than double the preceding term. Given that the initial term is 1.25, what is the value of the 3rd term?

Correct answer marked below

−0.5

Correct

2.5

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Explanation

Preview

Official Explanation

Official

Let N1 = 1.25. Then, N2 = 2(1.25) - 1 = 1.5. Next, N3 = 2(1.5) - 1 = 2.

Comments

NishatAug 23, 2024

Thank for sharing!!!

NominNov 4, 2024

thanks for posting

What this question tests

Your ability to spot and extend arithmetic and geometric sequences and work with recursive definitions.

Off-by-one errors in indexing (a₀ vs a₁) or confusing an arithmetic difference with a geometric ratio.