Question

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​

Answer 1

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.