Advertisements
Advertisements
प्रश्न
The sequence −10, −6, −2, 2, ... is ______.
विकल्प
an A.P., Reason d = −16
an A.P Reason d = 4
an A.P., Reason d = −4
is not an A.P.
Advertisements
उत्तर
The sequence −10, −6, −2, 2, ... is an A.P. Reason d = 4.
Explanation:
The given sequence is –10, –6, –2, 2, ...
Here,
First term (a) = a1 = –1
Second term = a2 = –6
Third term = a3 = –2
Common difference (d) = a2 – a1
= –6 – (–10)
= 4
a3 – a2 = –2 – (–6)
= 4
Since, a2 – a1 = a3 – a2
Thus, the given sequence is an A.P.
APPEARS IN
संबंधित प्रश्न
Find the sum of first 20 terms of the following A.P. : 1, 4, 7, 10, ........
Find the sum given below:
34 + 32 + 30 + ... + 10
A sum of Rs 700 is to be used to give seven cash prizes to students of a school for their overall academic performance. If each prize is Rs 20 less than its preceding prize, find the value of each of the prizes.
Find the sum of the following arithmetic progressions: 50, 46, 42, ... to 10 terms
The sum of first three terms of an AP is 48. If the product of first and second terms exceeds 4 times the third term by 12. Find the AP.
HINT: Let these terms be (a – d), a, (a + d).
If the 9th term of an A.P. is zero then show that the 29th term is twice the 19th term?
The A.P. in which 4th term is –15 and 9th term is –30. Find the sum of the first 10 numbers.
If m times the mth term of an A.P. is eqaul to n times nth term then show that the (m + n)th term of the A.P. is zero.
Find the sum (−5) + (−8)+ (−11) + ... + (−230) .
Let there be an A.P. with first term 'a', common difference 'd'. If an denotes in nth term and Sn the sum of first n terms, find.
In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be double of the class in which they are studying. If there are 1 to 12 classes in the school and each class has two sections, find how many trees were planted by the students.
The first and last terms of an A.P. are 1 and 11. If the sum of its terms is 36, then the number of terms will be
If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273, then the third term is
If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times, the least, then the numbers are
Q.10
Q.15
If the sum of the first four terms of an AP is 40 and that of the first 14 terms is 280. Find the sum of its first n terms.
In an AP, if Sn = n(4n + 1), find the AP.
If 7 times the seventh term of the AP is equal to 5 times the fifth term, then find the value of its 12th term.
k + 2, 2k + 7 and 4k + 12 are the first three terms of an A.P. The first term of this A.P. is ______.
