Which term of the A .P. 14, 11, 8..... is - 1?

Let n^th term of the A.P. 14, 11, 8,.... is – 1.
Here, a = 14, d = 11 – 14 = 8 – 11 = – 3 and a_n = – 1
$because space space space space space space space straight a subscript straight n equals straight a plus left parenthesis straight n minus 1 right parenthesis straight d rightwards double arrow space space space space space space space minus 1 space equals space 14 space plus space left parenthesis straight n minus 1 right parenthesis left parenthesis negative 3 right parenthesis rightwards double arrow space space space space space space space space minus 1 equals 14 minus 3 straight n plus 3 rightwards double arrow space space space space space space space 3 straight n minus 1 minus 17 equals 0 rightwards double arrow space space space space space space space space 3 straight n space equals space 18 rightwards double arrow space space space space space space space space straight n space equals 18 over 3 equals 6$
Hence, 6^th term of the given A .P. is – 1.

133 Views

Arithmetic Progressions

Hope you found this question and answer to be good. Find many more questions on Arithmetic Progressions with answers for your assignments and practice.

Mathematics

Browse through more topics from Mathematics for questions and snapshot.