SOLUTION: Find S24 for the sequence 2,14,...12n-10 Thank you in advance

Question 1041236: Find S24 for the sequence 2,14,...12n-10
Thank you in advance
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

"2" is the first term given in the sequence
1st term = a1 = 2

The nth term is 12n-10
Plug in n = 24 to find the 24th term
24th term = a24 = 12*24-10 = 278

Now we use the arithmetic sum formula
Sn = n*(a1+an)/2
S24 = 24*(a1+a24)/2
S24 = 24*(2+278)/2
S24 = 24*(280)/2
S24 = 24*140
S24 = 3360

The sum of the first 24 terms of the sequence 2,124, ..., 12n-10 is 3360

RELATED QUESTIONS
i have selected 10 problems i am having trouble with if anyone could PLEASE help i would... (answered by stanbon)

For the sequence 2,-2,4,-6,10.... find the recursive formula Thank... (answered by Edwin McCravy,ikleyn,greenestamps)

Express the given sums using sigma notation for the following: a) 2+5+10+14+18 b)... (answered by stanbon,Edwin McCravy)

Find the value of x so that x, x + 2, and x + 3 are terms of a geometric sequence.... (answered by jim_thompson5910)

solve for n: 4(n-9)+2=12n+14 (answered by mananth,robertb)

Could you please help me with this word problem? Thank you in advance. The dimensions of (answered by josmiceli)

Hello, I'm having a hard time finding the sequence of this number pattern. Please help... (answered by ikleyn)

Hello, I'm having a hard time finding the sequence of this number pattern. Please help... (answered by Edwin McCravy)

Find the sum of the infinite series: ∞ ∑ (3/2^i+4/5^i) (answered by jim_thompson5910)