Maths · Arithmetic and Geometric progressions
Find the number of terms of the AP
Find the number of terms of the AP \( 121,117,113, \dots,-3 ? \)
- A. 32
- B. 30
- C. 28
- D. 26
Step-by-step solution
Given AP: 121, 117, 113, ..., -3. First term a = 121, common difference d = -4, last term l = -3. Using nth term formula l = a + (n-1)d, we get -3 = 121 + (n-1)(-4). Solving: -124 = -4(n-1) → n-1 = 31 → n = 32. Thus, there are 32 terms.
Related MCQs
- The value of a machine depreciates at the rate of every year. it was purchased 3 years ago. If its present value is Rs. 8748 , its purchase …
- Ms. Kyle deposits an amount of Rs. 15400 to obtain a simple interest at the rate of for 4 years. What total amount will Ms. Kyle get at the …
- A man saved RS. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more t…
- Which one of the following numbers is not a complete cube? 64,216,343,256…
- f The values of and in the box respectively are…