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 = ±3

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.

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