Advertisements
Advertisements
प्रश्न
Justify whether it is true to say that `-1, - 3/2, -2, 5/2,...` forms an AP as a2 – a1 = a3 – a2.
विकल्प
True
False
उत्तर
This statement is False.
Explanation:
a1 = – 1, a2 = `-3/2`, a3 = `-2` and a4 = `5/2`
a2 – a1 = `-3/2 - (-1) = - 1/2`
a3 – a2 = `- 2 - (-3/2) = -1/2`
a4 – a3 = `5/2 - (-2) = 9/2`
Clearly, the difference of successive terms in not same,
All though, a2 – a1 = a3 – a2 but a4 – a3 ≠ a3 – a2,
Therefore it does not form an AP.
APPEARS IN
संबंधित प्रश्न
Babubhai borrows Rs. 4,000 and agrees to repay with a total interest of Rs. 500 in 10 installments, each installment being less than the preceding installment by Rs. 10. What should be the first and the last installments?
If m times mth term of an A.P. is equal to n times its nth term, show that the (m + n) term of the A.P. is zero
In the following situation, involved make an arithmetic progression? and why?
The cost of digging a well after every metre of digging, when it costs Rs 150 for the first metre and rises by Rs 50 for each subsequent metre.
In the following situations, the sequence of numbers formed will form an A.P.?
The cost of digging a well for the first metre is Rs 150 and rises by Rs 20 for each succeeding metre.
If 10 times the 10th term of an A.P. is equal to 15 times the 15th term, show that 25th term of the A.P. is zero.
If the sequence t1, t2, t3 … is in A.P. then the sequence t6, t12, t18 … is
First four terms of an A.P., are ______ whose first term is –2 and the common difference is –2.
Choose the correct alternative answer for the following sub-question
Find t3 = ? in an A.P. 9, 15, 21, 27, ...
Which of the following form an AP? Justify your answer.
–1, –1, –1, –1,...
Verify that the following is an AP, and then write its next three terms.
`0, 1/4, 1/2, 3/4, ...`
