The 43rd term of an AP is 26,find the 1st term of the progression given that its common difference is 1/2 and also find the 50th term

Answer 1

To find the 1st term of the arithmetic progression, we can use the formula for the nth term of an AP:

An = A1 + (n - 1)d

Given that the 43rd term is 26, we can plug in the values:

26 = A1 + (43 - 1)(1/2)
26 = A1 + 21
A1 = 26 - 21
A1 = 5

Therefore, the 1st term of the arithmetic progression is 5.

To find the 50th term of the arithmetic progression, we can again use the formula:

A50 = A1 + (50 - 1)d
A50 = 5 + 49(1/2)
A50 = 5 + 24.5
A50 = 29.5

Therefore, the 50th term of the arithmetic progression is 29.5.