Select the number from among the given options that can replace the question mark (?) in the following series.
35, 43, 53, 61, 71, ?
- A79
- B89
- C93
- D85
Solution & Step-by-step Explanation
Let's find the differences between consecutive terms:
43−35=8
53−43=10
61−53=8
71−61=10
The differences follow an alternating pattern: +8,+10,+8,+10,…
Following this pattern, the next difference must be +8:
71+8=79
Let's double check if 79 is in the options. Yes, Option A is 79.
43−35=8
53−43=10
61−53=8
71−61=10
The differences follow an alternating pattern: +8,+10,+8,+10,…
Following this pattern, the next difference must be +8:
71+8=79
Let's double check if 79 is in the options. Yes, Option A is 79.