The 18th term of an AP is 25.find its first term of its common difference is 2
How do I sovle this question
How do I solve it
To find the first term of the arithmetic progression (AP), given the 18th term and the common difference, you can use the formula for finding the nth term of an AP.
The nth term formula of an AP is given by:
nth term (Tn) = a + (n - 1)d
where "a" is the first term, "n" is the position of the term in the AP, and "d" is the common difference.
In this case, we are given the 18th term (Tn = 25) and the common difference (d = 2). We need to find the first term (a).
Using the formula, we can substitute the given values:
25 = a + (18 - 1) * 2
Simplifying the equation, we have:
25 = a + 17 * 2
25 = a + 34
Now, we can isolate "a" by subtracting 34 from both sides of the equation:
a = 25 - 34
a = -9
Therefore, the first term of the AP is -9.
a + 17d = 25
you know d, so use it to find a