Login or Sign Up

Ask a New Question

The 8th term of a linear sequence is 18 and the 12th term is 26.find first term,the common difference,the 20th term.

term(8) = a + 7d = 18

term(12) = a + 11d = 26
subtract them....
4d = 8
d = 2

sub that into one of the above equations to find a,
then term(20) = a + 19d = .....

Did you know?

In a linear sequence, each term can be found by adding a constant value, known as the common difference, to the previous term. By subtracting the 8th term (18) from the 12th term (26), we discover that the difference between consecutive terms is 2. Therefore, the common difference in this sequence is 2. To find the first term, we can use the formula: first term = nth term - (n-1) * common difference Let's plug in the values: first term = 18 - (8-1) * 2 first term = 18 - 7 * 2 first term = 18 - 14 first term = 4 The first term in this linear sequence is 4. To find the 20th term, we can use the formula: nth term = first term + (n-1) * common difference Let's plug in the values: 20th term = 4 + (20-1) * 2 20th term = 4 + 19 * 2 20th term = 4 + 38 20th term = 42 The 20th term in this linear sequence is 42.