In a GP, if the first term is 5 and the common ratio is 1/2, what is the sum of

Practice Questions

Q1
In a GP, if the first term is 5 and the common ratio is 1/2, what is the sum of the first four terms?
  1. 15
  2. 10
  3. 12.5
  4. 20

Questions & Step-by-Step Solutions

In a GP, if the first term is 5 and the common ratio is 1/2, what is the sum of the first four terms?
  • Step 1: Identify the first term of the GP, which is given as 5.
  • Step 2: Identify the common ratio of the GP, which is given as 1/2.
  • Step 3: Calculate the second term by multiplying the first term by the common ratio: 5 * (1/2) = 2.5.
  • Step 4: Calculate the third term by multiplying the second term by the common ratio: 2.5 * (1/2) = 1.25.
  • Step 5: Calculate the fourth term by multiplying the third term by the common ratio: 1.25 * (1/2) = 0.625.
  • Step 6: List the first four terms: 5, 2.5, 1.25, and 0.625.
  • Step 7: Add the first four terms together: 5 + 2.5 + 1.25 + 0.625.
  • Step 8: Calculate the sum: 5 + 2.5 = 7.5, then 7.5 + 1.25 = 8.75, and finally 8.75 + 0.625 = 9.375.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely