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

Write the n^th term of the following sequences
\(\frac { 1 }{ 2 } ,\frac { 2 }{ 3 } ,\frac { 3 }{ 4 } ,\frac { 4 }{ 5 } ,\frac { 5 }{ 6 } \)

Write the n^th term of the following sequences
\(\frac { 1 }{ 2 } ,\frac { 3 }{ 4 } ,\frac { 5 }{ 6 } ,\frac { 7 }{ 8 } ,\frac { 9 }{ 10 } \)

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

Find the expansion of (2x + 3)⁵.

Evaluate 98⁴ .

Find the middle term in the expansion of (x +y)⁶.

Find the middle terms in the expansion of (x + y)⁷.

Find the sum up to n terms of the series : \(1+{6\over 7}+{11\over 49}+{16\over 343}+...\)

Write the first 6 terms of the sequences whose n^th term an is given below:
\(a_n=\begin{cases} 1 \\ 2 \\{a}_{n-1}+{a}_{n-2} \\\end{cases}\)\(if\ n=1\\if\ n=2,\\if\ n>3\)