write an ap whose common difference is 7 what is the 17 term? what is n term

if the first term is 456, then the 17th term is 456+7*16

Tn = 456 + 7(n-1)

if the first erm is 1,the the a.p is:

1,8,15,22......
to find 17th term :
a+(n-1)*d
1+(17-1)*7
1+16*7
1+112
=113

To find the 17th term and the nth term of an arithmetic progression (AP) with a common difference of 7, you can use the formula:

ak = a + (k - 1)d

Where:
ak is the kth term of the AP
a is the first term of the AP
k is the term number
d is the common difference

First, let's find the 17th term:

a = the first term (not provided)
d = the common difference (7)
k = the term number (17)

ak = a + (k - 1)d

Substituting the given values:
a17 = a + (17 - 1) * 7

Simplifying:
a17 = a + 16 * 7
a17 = a + 112

Therefore, the 17th term is a + 112.

Now, let's find the nth term in general:

a = the first term (not provided)
d = the common difference (7)
k = the term number (n)

ak = a + (k - 1)d

Substituting the variables:
an = a + (n - 1) * 7

So, the nth term is a + (n - 1) * 7.

Please note that without the value of the first term (a), we cannot give a specific value for the 17th term or the nth term, as they will be in terms of the first term.