Find the nth term Un of the A.P., 11, 4, -3,....... .
Answer Details
The given sequence is an arithmetic progression (AP) since each term is obtained by subtracting 7 from the previous term.
Let the first term be a = 11, and the common difference be d = -7.
The nth term of an arithmetic progression can be found using the formula:
Un = a + (n - 1)d
Substituting the values of a and d, we get:
Un = 11 + (n - 1)(-7)
Simplifying, we get:
Un = 11 - 7n + 7
Un = 18 - 7n
Therefore, the nth term Un of the given AP is 18 - 7n.
The answer is (d) Un= 18-7n.