HSC Science Class 11 - Tamil Nadu Board of Secondary Education Question Bank Solutions

If the letters of the word FUNNY are permuted in all possible ways and the strings thus formed are arranged in the dictionary order, find the rank of the word FUNNY

Find the sum of all 4-digit numbers that can be formed using digits 1, 2, 3, 4, and 5 repetitions not allowed?

Find the sum of all 4-digit numbers that can be formed using digits 0, 2, 5, 7, 8 without repetition?

Choose the correct alternative:
If `""^(("n" + 5))"P"_(("n" + 1)) = ((11("n" - 1))/2)^(("n" + 3))"P"_"n"`, then the value of n are

Choose the correct alternative:
The product of r consecutive positive integers is divisible b

Choose the correct alternative:
If P_r stands for ^rP_r then the sum of the series 1 + P₁ + ²P₂ + ³P₃ + · · · + ⁿP_n is

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

`4 (1/2)^"n"`

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

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

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

2018

Write the first 6 terms of the sequences whose n^th 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 n^th term a_n is given below

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

Write the first 6 terms of the sequences whose n^th term a_n is given below

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

Write the first 6 terms of the sequences whose n^th term a_n is given below

a_n = `{{:("n",  "if n is"  1","  2  "or"  3),("a"^("n" - 1) + "a"_("n" - 2) + "a"_("n" - 3), "if n" > 3):}`

Write the n^th term of the following sequences.
2, 2, 4, 4, 6, 6, . . .

Write the n^th term of the following sequences.
`1/2, 2/3, 3/4, 4/5, 5/6, ...`

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

Write the n^th term of the following sequences.
6, 10, 4, 12, 2, 14, 0, 16, −2, . . .