Find the indicated terms in each of the sequences in Questions 7 to 10 whose nth term are :
`a_(n)=(n^(2))/(2^(n)),a_(7)`

Explanation

To find the 7th term \( a_7 \) of the sequence defined by the nth term \( a_n = \frac{n^2}{2^n} \), we will follow these steps:

### Step 1: Identify the nth term formula
The nth term of the sequence is given by:
\[ a_n = \frac{n^2}{2^n} \]

### Step 2: Substitute \( n = 7 \) into the formula
To find \( a_7 \), we substitute \( n = 7 \) into the formula:
\[ a_7 = \frac{7^2}{2^7} \]

### Step 3: Calculate \( 7^2 \)
Calculate \( 7^2 \):
\[ 7^2 = 49 \]

### Step 4: Calculate \( 2^7 \)
Calculate \( 2^7 \):
\[ 2^7 = 128 \]

### Step 5: Substitute the values into the expression for \( a_7 \)
Now substitute the calculated values back into the expression for \( a_7 \):
\[ a_7 = \frac{49}{128} \]

### Step 6: Final answer
Thus, the value of \( a_7 \) is:
\[ \boxed{\frac{49}{128}} \]

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