The 9th and 22nd term of the AP are aw and 55 respectively. find the sum of the 70 term
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To find the sum of the 70 terms in an arithmetic progression (AP), we need to know the first term (a) and the common difference (d). However, in this case, only two terms are given. So, first, we need to find the common difference (d).
The formula to find the n-th term of an AP is:
an = a + (n-1)d
Given that the 9th term is aw, we can substitute n = 9 and an = aw:
aw = a + (9-1)d (Equation 1)
Similarly, for the 22nd term:
55 = a + (22-1)d (Equation 2)
We now have two equations (Equation 1 and Equation 2) with two variables (a and d). We can solve these equations simultaneously to find the values of a and d.
Let's solve the equations to get the values of a and d.