The 43rd term of an AP is 26 find the first term of the progression,given its common difference 1/2

Answer 1

Let the first term of the arithmetic progression be 'a' and the common difference be 'd'.
The formula to find the nth term of an AP is:
an = a + (n-1)d
Given that the 43rd term of the AP is 26, we can substitute n = 43 and an = 26 into the formula to get:
26 = a + (43-1)(1/2)
26 = a + 42(1/2)
26 = a + 21
Subtracting 21 from both sides:
5 = a
Therefore, the first term of the arithmetic progression is 5.