If the nth of the a sequence is 4-5 then the 50th term of this sequence is
A) 9985
B) 9990
C) 9995
D) 10000
Answers
Topic :- Sequence and Series
Given :- nth term of sequence is 4n² - 5.
To Find :- 50th term of the sequence.
Solution :-
nth term of sequence = 4n² - 5
If we want to calculate the value of 50th term then we will have to put the value of n = 50.
Putting n = 50,
50th term of sequence = 4(50)² - 5
50th term of sequence = 4(2500) - 5
50th term of sequence = 10000 - 5
50th term of sequence = 9995
So, 50th term of the sequence is 9995.
Answer :-
So, the 50th term of the sequence is 9995 which is option C.
Additional Information :-
Arithmetic Progression
A sequence with common difference between its consecutive terms.
For example,
2, 5, 8, 11, . . . . .
40, 30, 20, 10, . . . .
Geometric Progression
A sequence with common ratio between its consecutive terms.
For example,
2, 4, 8, 16, 32, . . .
5, 10, 20, 40, . . .