Correct Answer:
B. 125
This is an arithmetic progression (AP), where each term after the first is obtained by adding a constant difference to the preceding term. First, identify the first term (a₁) and the common difference (d).
Here, the first term a₁ = 35. The common difference d = 45 - 35 = 10 (or 55 - 45 = 10). To find the 10th term (n=10), use the formula for the nth term of an AP: a_n = a₁ + (n-1)d.
Substituting the values: a₁₀ = 35 + (10-1) * 10 = 35 + 9 * 10 = 35 + 90 = 125. So, option B is correct.
- A: 115 would be the 9th term.
- C: 135 would be the 11th term.
- D: 145 would be the 12th term. These distractors are close but result from miscalculating the term number.