the first term in a sequence is -5 and every term after the first is 3 more than the term immediately preceding it . what is the value of the 51st term of the sequence
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Answer:
51st term of sequence is 145
Step-by-step explanation:
Since the common difference between each term is same i.e. 3, this series is an arithmetic progression. We have a formula for finding nth term of AP, which can be used to find the 51st term of the sequence.
Given : first term is -5 and Common difference is 3
Solution :-
Formula for nth term of AP :
- An = a + (n - 1) d
Here,
- An = nth term
- a = first term
- d = Common difference
- n = number of terms
Substitute value of n= 51 for 51st term
=> a51 = a + (51 - 1)d
Put a = - 5 and d = 3 [Given]
=> a51 = - 5 + (50) (3)
=> a51 = - 5 + 150
=> a51 = 145
So the required 51st term of sequence is 145.
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