MedVision ad

Series Question. (1 Viewer)

chingyloke

Ex-Prince of Manchester.
Joined
Aug 4, 2007
Messages
185
Gender
Male
HSC
2009
The 20th term of an arithmetic series is 131 and the sum of the 6th to 10th terms inclusive is 235. Find the sum of the first 20 terms.

How would i go about attacking this?

cheers.
 

lyounamu

Reborn
Joined
Oct 28, 2007
Messages
9,998
Gender
Male
HSC
N/A
chingyloke said:
The 20th term of an arithmetic series is 131 and the sum of the 6th to 10th terms inclusive is 235. Find the sum of the first 20 terms.

How would i go about attacking this?

cheers.
20th term = a + 19d = 131 ..(1)

6th to 10th term = (a+5d) + (a+6d) + ... + (a+9d) = 5a + 35d = 235 ...(2)


Solve it simultaneously so you get: 60d = 420 so d = 7
so a = -2

Sum of first 20 terms: n/2(2a + (n-1)d) = 1290
 

bell_9192

New Member
Joined
Feb 23, 2009
Messages
18
Location
Tamworth
Gender
Male
HSC
2009
Well lukeman 1st u would stop supporting man utd coz they eat the dick, then start supporting liverpool coz they make manure eat the dick, and finally u should ask folksey and bring urself down to our level....normality lol
 

random-1005

Banned
Joined
Dec 15, 2008
Messages
609
Gender
Male
HSC
2009
The 20th term of an arithmetic series is 131 and the sum of the 6th to 10th terms inclusive is 235. Find the sum of the first 20 terms.

How would i go about attacking this?

cheers.

a person that does 4 unit is asking about a really easy 2 unit question, how does that work?
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top