Mathematics
Write the first four terms of the A.P. when its first term is -5 and common difference is -3.
Answer
Given, a = -5 and d = -3.
We know that
an = a + (n - 1)d
∴ a2 = -5 + (2 - 1) × (-3) = -5 + (-3) = -5 - 3 = -8.
a3 = -5 + (3 - 1) × (-3) = -5 + 2 × -3 = -5 - 6 = -11.
a4 = -5 + (4 - 1) × (-3) = -5 + 3 × -3 = -5 - 9 = -14.
Hence, the first four terms of the A.P. are -5, -8, -11, -14.
Related Questions
Given x, y, z are in A.P.
Assertion (A): z, y, x are in A.P.
Reason (R): The term of an A.P. taken in reverse order also forms an A.P.
Assertion (A) is true, but Reason (R) is false.
Assertion (A) is false, but Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
The nth term of an A.P. is 6n + 2. Find the common difference.