What is the sum of the arithmetic sequence 3, 9, 15
if there are 34 terms?

Question

06-08-2021
Mathematics

Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

What is the sum of the arithmetic sequence 3, 9, 15
if there are 34 terms?

Sagot :

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.

Ski resorts are interested in the average age that children take their first ski and snowboard lessons. They need this information to optimally plan their ski c

Triangle F G E is shown. Angle F E G is a right angle. The length of hypotenuse F G is 15.2 meters and the length of F E is 9 meters. Angle F G E is x. Which eq

Find the amount necessary to fund the given withdrawals. Monthly withdrawals of $600 for 6 years; interest rate is 4.8% compounded monthly.

I need help solving AB for this triangle

Point [tex]$M$[/tex] is the midpoint of segment [tex]$KL$[/tex]. Point [tex]$N$[/tex] is the midpoint of segment [tex]$ML$[/tex].Point [tex]$K$[/tex] is located

What is NOT a reason that Engineers carry Professional Liability Insurance?O to protect them from tort lawsuitsO to protect their directorsO to protect their em

English 1.2.3 Quiz: Understand Story StructureQuestion 1 of 10Which statement describes the most common characteristic of oral narratives?A. They include unexpe

What type of survivorship do African Gray Parrots exhibit?A. Type I (Late Loss)B. Type III (Early Loss)

Of the eruption types listed here, which one is most explosive? a. Vulcanianb. Hawaiic. Icelandicd. Stromboliane. Plinian

3. A 45-year-old woman decides to put funds into a retirement plan. She can save $2,000 a year and earn 6 percent on this savings. How much will she have accu-

jimthompson5910 jimthompson5910 · Answer 1 · 2021-08-06T13:49:43-04:00

Answer: 3468

===================================================

Work Shown:

a = first term = 3

d = common difference = 6

S(n) = sum of the first n terms of an arithmetic sequence

S(n) = (n/2)*(2a + d(n-1))

S(34) = (34/2)*(2*3 + 6(34-1))

S(34) = 3468

--------

Check:

3+9+15+21+27+33+39+45+51+57+63+69+75+81+87+93+99+105+111+117+123+129+135+141+147+153+159+165+171+177+183+189+195+201 = 3468

I used GeoGebra to generate the 34 terms shown above. You could do so by hand (start at 3; add 6 to each term to get the next one), but it's a tedious busywork type of problem in my opinion. It's best left to computer software.

Sagot :

Answer: 3468

Other Questions