Maths · Arithmetic and Geometric progressions
Which term of the sequence is
Which term of the sequence \( \mathbf{3}, \mathbf{8}, \mathbf{1 3}, \mathbf{1 8}, \dots \dots . . \) is \( \mathbf{4 9 8} \)
- A. 95 th
- B. 100 th
- C. \( 102 t h \)
- D. \( 101 t h \)
Step-by-step solution
The sequence is arithmetic with first term a=3 and common difference d=5. The nth term T_n = a + (n-1)d = 3 + (n-1)*5. Setting T_n = 498 gives 3 + 5(n-1) = 498 → 5(n-1) = 495 → n-1 = 99 → n = 100.
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