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@acheong08
Last active April 3, 2022 10:32
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Sequences and series calculator
def Quadratic():
option = int(input("Options: 1) Enter formula 2) Enter three terms"))
if option == 2:
terms = [None, None, None, None]
for i in range(1,4):
terms[i] = float(input(str("Enter term " + str(i) + ": ")))
diff1 = terms[2] - terms[1]
diff2 = terms[3] - terms[2]
quadiff = diff2 - diff1
a = quadiff / 2
quadiff2 = [None, None, None, None]
for i in range(1,4):
quadiff2[i] = terms[i] - (a*(i**2))
nthdiff = quadiff2[2] - quadiff2[1]
zeroterm = quadiff2[1] - nthdiff
elif option == 1:
print("an^2 + bn + c")
a = float(input("Enter a: "))
nthdiff = float(input("Enter b: "))
zeroterm = float(input("Enter c: "))
else:
print("Error")
exit()
nthTerm = str(str(a) + "n^2 " + "+ " + str(nthdiff) + "n" + " + " + str(zeroterm))
print(nthTerm)
const1 = a
const2 = nthdiff
const3 = zeroterm
option = int(input("Options: 1) Show 10 terms 2) Calculate nth term 3) Find term number "))
if option == 1:
for i in range(1,11):
print("Term " + str(i) + ": " + str((const1 * (i ** 2)) + (const2 * i) + (const3)))
elif option == 2:
nth = int(input("n:"))
answer = (const1 * (nth ** 2)) + (const2 * nth) + (const3)
print(answer)
elif option == 3:
value = float(input("Term value: "))
nth = 0
answer = None
while answer != value:
nth += 1
answer = (const1 * (nth ** 2)) + (const2 * nth) + (const3)
if answer > value:
print("Error")
elif answer == value:
print("n: " + str(nth))
else:
print("???")
def Geometric():
option = int(input("1) Enter Formula 2) Enter first two terms : "))
if option == 1:
a = float(input("Enter first number of sequence: "))
r = float(input("Enter ratio: "))
elif option == 2:
a = float(input("Enter first number of sequence: "))
a2 = float(input("Enter second number of sequence: "))
r = a2/a
else:
print("Error")
exit()
option = int(input("1) Show 10 terms 2) Calculate nth term 3) Find term number : "))
print("Formula: " + str(a) + "*" + str(r) + "^(n-1)")
if option == 1:
for n in range(1,11):
value = a * (r**(n-1))
print("Term " + str(n) + ": " + str(value))
elif option == 2:
n = int(input("Enter term number: "))
value = a * (r**(n-1))
elif option == 3:
userVal = float(input("Enter term value: "))
n = 0
value = None
while value != userVal and value < userVal:
n += 1
value = a * (r**(n-1))
if value == userVal:
print("Nth term: " + str(n))
else:
print("Error")
option = int(input("1) Quadratic 2) Geometric : "))
if option == 1:
Quadratic()
elif option == 2:
Geometric()
else:
print("Error")
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