write the first five of the sequence of an = (1+n)² and shiw your complete solution.
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write the first five of the sequence of an = (1+n)² and shiw your complete solution.
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Answer:
[tex]4 \\ 9 \\ 16 \\ 25 \\ 36[/tex]
4, 9, 16, 25, 36
Step-by-step explanation:
FORMULA
[tex]a _{n} = (1 + n) {}^{2} [/tex]
Remember : The (↓n) is the term it could be first second third..... and more and has infinite term
LETS SOLVE
For first term
[tex]a _{1} = (1 + 1) {}^{2} [/tex]
[tex]a _{1} = 2 {}^{2} [/tex]
[tex]a _{1} = 4[/tex]
Now lets find the second term
[tex]a _{2} = (1 + 2) {}^{2} [/tex]
[tex]a _{2} = 3 {}^{2} [/tex]
[tex] \alpha = _{9}[/tex]
LETS FIND THE THIRD TERM
a3 = (1+3)²
a3 = 4²
[tex]a _{3} = 16[/tex]
Lets find 5th term
a5 = (1+5)²
a4 = 5²
[tex]a _{5} = 25[/tex]