if the 29th term of arithmetic series is double of 19th term then find the 9th term.

To know the answer

To find the 9th term of the arithmetic series, first we need to find the common difference (d) between the terms.

In an arithmetic series, the difference between any two consecutive terms is constant. Given that the 29th term is double the 19th term, we can set up the following equation:

29th term = 2 * 19th term

Using the formula for the nth term of an arithmetic series:

nth term = a + (n-1)d

where a is the first term, n is the term number, and d is the common difference. We can rewrite the equation as:

a + 28d = 2(a + 18d)

Simplifying the equation:

a + 28d = 2a + 36d

Subtracting a and 28d from both sides:

0 = a + 8d

Since there are infinitely many solutions to this equation, we need additional information to find the specific values of a and d.