Wednesday

April 23, 2014

April 23, 2014

Posted by **Lucas** on Sunday, February 3, 2013 at 4:35pm.

2..a new sequence is formed by adding together the corresponding terms of a geometric sequence and an arithmetic sequence.The common ratio of the geometric sequence is 2 and the common difference of the arithmetic sequence is 2.The first term of the new sequence is 1,and the second term is 7...

2.1 calculate the third term of the new sequence

2.2write down an expression for the n-th term of the new sequence

- Maths -
**Steve**, Sunday, February 3, 2013 at 5:23pma+d = ar

a = 12

r < 1

3/2 (2a+2d) = a(1+r+r^2) - 4/3

3ar = a(1+r+r^2) - 4/3

36r = 12(1+r+r^2) - 4/3

r = 2/3 or 4/3

r=2/3:

12+d = 12* 2/3

d = -4

AP = 12 8 4 0 ...

GP = 12 8 16/3 32/9 ...

check

12+8+4 = 12+8+16/3 - 4/3 YES

**Related Questions**

Math (Geometric Progression) - 5 distinct positive reals form an arithmetic ...

Math - 5 distinct positive reals form an arithmetic progression. The 1st, 2nd ...

math - 1)Find the sum of the first eight terms of the Geometric progression 256,...

Geometric progression - The second term of a geometric progression is 12 more ...

Maths - Geometric Progression - Find the value of x for which the numbers x+1, x...

maths - the sum of the 4th and 6th terms of an A.P is 42. the sum of the 3rd and...

math - in a Geometric progression the sum of the first and the second terms is ...

math - 1) If the number 1,1/3,1/9, are terms of Geometric progression. Find its ...

Geometric Sequence - The product of the first five terms of a geometric ...

maths - In the sequence: x+4y ; 2y+2 ;x ;y-1, (consisting of 4 terms) the first ...