In an arithmetic progression, the difference between any two successive terms is called the
Answer
common difference
Step-by-step solution
- Recall the definition of an arithmetic progression (AP).
- In an AP, the constant difference between consecutive terms is known as the common difference.
- Select the option that matches this definition.
Common mistake: Confusing the common difference with the common ratio (used in G.P.).
Concept tested: definition of AP
Related questions
- 1 The first term of an AP is 7 and the common difference is 3. Find its 10^th term.
- 2 The sum of the first 10 terms of an AP is 230. If the first term is 5, what is the common difference?
- 3 Find the number of terms in an AP whose first term is 3, common difference is 2, and total sum is 255.
- 4 Ramesh saves money each month in an arithmetic progression. He saves Rs 2000 in the first month and each subsequent month he saves Rs 500 more than the previous month. After how many months will his total savings be at least Rs 1,20,000? Also state the total amount saved at the end of that month.
- 5 Determine whether the pair of equations 5x - 2y = 7 and 10x - 4y = 20 are consistent, inconsistent, or represent the same straight line. Justify your answer.
- 6 Without performing long division, state whether 13/3125 has a terminating or a non-terminating repeating decimal expansion. Write the expansion if it terminates.