हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान कक्षा ११

Write the first 6 terms of the sequences whose nth terms are given below and classify them as arithmetic progression, geometric progression, arithmetico-geometric progression, harmonic - Mathematics

Advertisements
Advertisements

प्रश्न

Write the first 6 terms of the sequences whose nth terms are given below and classify them as arithmetic progression, geometric progression, arithmetico-geometric progression, harmonic progression and none of them

2018

योग

उत्तर

The nth term an = 2018
a1 = 2018,
a2 = 2018,
a3 = 2018,
a4 = 2018,
a5 = 2018,
a6 = 2018,

∴ The given sequence is 2018, 2018, 2018, 2018, 2018, 2018, ………….

This is a œnstant sequence which has same common ratio and common difference.

Hence this is an A. P, G . P and AGP.

shaalaa.com
Finite Sequences
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Binomial Theorem, Sequences and Series - Exercise 5.2 [पृष्ठ २१७]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 5 Binomial Theorem, Sequences and Series
Exercise 5.2 | Q 1. (vi) | पृष्ठ २१७

संबंधित प्रश्न

Write the first 6 terms of the sequences whose nth terms are given below and classify them as arithmetic progression, geometric progression, arithmetico-geometric progression, harmonic progression and none of them

`1/(2^("n"+ 1))`


Write the first 6 terms of the sequences whose nth terms are given below and classify them as arithmetic progression, geometric progression, arithmetico-geometric progression, harmonic progression and none of them

`(("n" + 1)("n" + 2))/(("n" + 3)("n" + 4))`


Write the first 6 terms of the sequences whose nth terms are given below and classify them as arithmetic progression, geometric progression, arithmetico-geometric progression, harmonic progression and none of them

`(- 1)^"n"/"n"`


Write the first 6 terms of the sequences whose nth terms are given below and classify them as arithmetic progression, geometric progression, arithmetico-geometric progression, harmonic progression and none of them

`(3"n" - 2)/(3^("n" - 1))`


Write the first 6 terms of the sequences whose nth term an is given below

an = `{{:("n" + 1,  "if"  "n is odd"),("n",  "if"  "n is even"):}`


Write the first 6 terms of the sequences whose nth term an is given below

an = `{{:(1,  "if n" = 1),(2,  "if n" = 2),("a"_("n" - 1) + "a"_("n" - 2),  "if n" > 2):}}` 


Write the nth term of the following sequences.
`1/2, 3/4, 5/6, 7/8, 9/10, ...`


The product of three increasing numbers in GP is 5832. If we add 6 to the second number and 9 to the third number, then resulting numbers form an AP. Find the numbers in GP


Write the nth term of the sequence `3/(1^2 2^2), 5/(2^2 3^2), 7/(3^2 4^2), ...` as a difference of two terms


If tk is the kth term of a G.P., then show that tn – k, tn, tn + k also form a GP for any positive integer k


If a, b, c are in geometric progression, and if `"a"^(1/x) = "b"^(1/y) = "C"^(1/z)`, then prove that x, y, z are in arithmetic progression


The AM of two numbers exceeds their GM by 10 and HM by 16. Find the numbers


If the roots of the equation (q – r)x2 + (r – p)x + p – q = 0 are equal, then show that p, q and r are in AP


If a , b , c are respectively the pth, qth and rth terms of a G . P show that (q – r) log a + (r – p) log b + (p – q) log c = 0


Choose the correct alternative:
If a, 8, b are in A.P, a, 4, b are in G.P, if a, x, b are in HP then x is


Choose the correct alternative:
The nth term of the sequence `1/2, 3/4, 7/8, 15/16, ...` is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×