You can solve the equation by factorization
Notice
Obtain the roots of this equation thus, you'll get the answer.
If you're having trouble factorizing, you could use the formula for the roots of a quadratic equation
and
How many terms of the series 4,10,16, ....... must be taken such that the sum is equal to 602?
So far i have:
Sn=n/2(2a+(n-1)d)
602x2=n(2x4+(n-1)6)
1204=n(8+6n-6)
1204=8n+6n squared-6n
1204=6n squared+2n
602=3n squared+n
n+3n squared -602=0
I have got my self into a bit of a pickle with this now and am stuck any help would be much appreciated
cheers
Hello, boboulas!
You're work is correct . . .
How many terms of the series 4,10,16 . . .must be taken
. . such that the sum is equal to 602?
So far i have:
I have got myself into a bit of a pickle . . .
You have a quadratic equation: .
Factor (or use the Quadratic Formula): .
. . And we have: .
Since must be a positive integer: .