Answer:
Step-by-step explanation:
We are asked to find the formula of arithmetic sequence, whose 3rd term is 10 and 51st term is .
We know that an arithmetic sequence is in format , where,
= nth term of sequence,
= 1st term of sequence,
n = Number terms in the sequence.
d = Common difference.
Upon substituting our given values, we will get two equation as:
Subtracting equation (2) from equation (1), we will get:
Switch sides:
Upon substituting in equation (1), we will get:
Upon substituting and in arithmetic sequence formula, we will get:
Therefore, our required formula would be .