Homework Help: Math - Arithmetic & Geometric

Posted by Student555 on Monday, February 28, 2011 at 5:08pm.

1) Given the terms a35 = 1238 and a70 = 1483 of an Arithmetic. Find the exact value of the term a105 a sequence and sum of sequence.

2) Given a3 = 99 and a5 = 891 of a Geometric. Find the exact value of the term a7 of the sequence and the sum of sequence.

Math - Arithmetic & Geometric - Reiny, Monday, February 28, 2011 at 5:58pm
1.
a+ 34d = 1238
a+69d = 1483
subtract them
35d = 245
d = 7
then in the 1st equation:
a + 238 = 1238
a = 1000
so term(105) = 1000 + 104(7) = 1728

2.
ar^2 = 99
ar^4 = 891
divide the 2nd by the third.
r^2 = 9
r = ą3
in the 1st
a(9) = 99
a = 11

then term(7)
= ar^6
= 11(3)^6 = 8019
Math - Arithmetic & Geometric - Student555, Tuesday, March 1, 2011 at 2:27am
Thanks a lot
Math - Arithmetic & Geometric - Anonymous, Thursday, March 3, 2011 at 11:43am
An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.

Answer this Question

Related Questions

AP and GP - 1) Given the terms a35 = 1238, a70 = 1483 of an AP. Find the exact ...
Maths - Eric thinks of 2 sequences.One is geometric and the other arithmetic....
Math - Which represents the type of sequence: 12, 22, 30, 36, 41, …? ...
Maths - 1..The first 2 terms of a geometric progression are the same as the ...
arithmetic - The first three terms in an arithmetic are given by x,4x+5 and 10x-...
Can someone help me?! - The 1st, 5th and 13th terms of an arithmetic sequence ...
math - if the arithmetic mean of 2 positive numbers (a and b) is 16 and their ...
Math - Arithmetic - Qn: Given that 3, b, c and 18 are an Arithmetic Progression...
pre algebra - solve whether the sequence is arithmetic or geometric if it is ...
math - two terms of an arithmetic sequence are 15 and 45. Create three different...

For Further Reading

First Name:
School Subject:
Answer: