The third term of an Ap is 9 while 11th term is -7 find the first 5th term of the Ap
there are 8 terms from the 3rd to the 11th, so
8d = -7-9 = -16
so, d = -2
Now you can find a, and then a+4d.
The sum of the 16 term
Maths
Work
To find the first 5th term of the arithmetic progression (AP), we need to find the common difference (d) first, using the given information.
We know that the third term of the AP is 9 and the 11th term is -7.
Let's start by finding the value of the common difference (d):
Step 1: Find the difference between the 11th term and the 3rd term:
-7 - 9 = -16
Step 2: Find the difference in the positions of these terms:
11 - 3 = 8
Step 3: Calculate the common difference (d):
d = (-16) / 8 = -2
Now that we know the common difference (d) is -2, we can find the first 5th term of the AP.
Step 4: Calculate the first 5th term:
a + (n - 1) * d
In this case, the first term (a) is unknown, the position of the term (n) is 5.
So, the formula becomes: a + (5 - 1) * (-2)
Simplifying: a + 4 * (-2) = a - 8
Therefore, the first 5th term of the AP is given by a - 8.
Please note that without additional information about the first term (a) of the AP, we cannot determine the actual value of the first 5th term.