3. What is the next term of the arithmetic sequence 3, 6, 9, 15, ...?
A. 16
C. 18
B. 17
D. 19
Answers
Answer :
18 is the correct answer....
Given :- What is the next term of the arithmetic sequence 3, 6, 9, 12, 15, ...?
A. 16
C. 18
B. 17
D. 19
Solution :-
3, 6, 9, 12, 15________ is an A.P series in which,
- First term a = 3
- Common difference between two consecutive term , is d = 3
So, nth term can be calculated as :-
- Tn = a + (n - 1) * d
we have to find next term which is 6th term of the given AP series .
Therefore,
→ T(n) = a + (n - 1)d
→ T(6) = a + (6 - 1)d
→ T(6) = a + 5d
→ T(6) = 3 + 5*3
→ T(6) = 3 + 15
→ T(6) = 18 . (C) (Ans.)
Hence, the next term of the arithmetic sequence is 18.
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