Correct option is C
Let's analyze the given series:
458, 435, 415, 398, 384, (…)
Step 1: Find the differences between consecutive terms:
458−435=23
435−415=20
415−398=17
398−384=14
We observe that the differences are decreasing by 3 each time (23, 20, 17, 14).
Step 2: Predict the next difference:
The next difference should be 14−3=11.
Step 3: Calculate the next term:
384−11=373.
Thus, the next term in the series is 373.
Final Answer:
(c) 373.