Mathematics
The sum of first 10 term of an A.P. = 3 and the sum of its first 15 term = 16.
Statement (1): The sum of first five terms of the given AP equals to 16 - 3 = 13.
Statement (2): The sum of last 5 terms of the given AP equals to sum of first 15 term minus sum of first 10 terms.
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Related Questions
An A.P. with 3rd term = -8 and 9th term = 4.
Assertion (A): Common difference = -2.
Reason (R): If first term of the A.P. is a, then (a + 8d) - (a + 2d) = -8 - 4.
A is true, R is false.
Both A and R are false.
Both A and R are true and R is correct reason for A.
Both A and R are true and R is incorrect reason for A.
The nth term of a sequence = 5n2 - 3.
Statement (1): The sequence is an A.P.
Statement (2): If the nth term of a sequence is not linear, the sequence does not form an A.P.
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
The 6th term of an A.P. is 16 and the 14th term is 32. Determine the 36th term.
If the third and the 9th terms of an A.P. be 4 and -8 respectively, find which term is zero?