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CBSE Class 11 Informatics Practices Question 32 of 36

Conditional and Looping Constructs — Question 32

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32
Question

Question 16

WAP to print the sum of the series 1 - x2/4! + x3/6! - x4/8! + x5/10! ............... xn/(2n)! — exponential series.

Solution
x = int(input("Enter x: "))
n = int(input("Enter n: "))

sum_series = 1  
sign = -1 

for i in range(2, n + 1):
    fact = 1
    for j in range(1, 2 * i + 1):
        fact *= j
    
    term = sign * (x ** i) / fact
    sum_series += term
    sign *= -1 

print("Sum =", sum_series)
Output
Enter x: 2
Enter n: 3
Sum = 0.8444444444444444
Answer

x
=
int
(
input
(
"Enter x: "
))
n
=
int
(
input
(
"Enter n: "
))
sum_series
=
1
sign
=
-
1
for
i
in
range
(
2
,
n
+
1
):
fact
=
1
for
j
in
range
(
1
,
2
*
i
+
1
):
fact
*=
j
term
=
sign
*
(
x
**
i
)
/
fact
sum_series
+=
term
sign
*=
-
1
print
(
"Sum ="
,
sum_series
)
Output
Enter x: 2
Enter n: 3
Sum = 0.8444444444444444