Mathematics, 23.11.2020 03:40, paolaviviana
Given that for an arithmetic sequence, the first term is q and the second term is qz.
(a) Find the common difference d the general term Tn and the sum of the first n terms. Answer must
be in terms of q and z.
(b) Hence, find the sum of the first 10 terms in terms of q and z.
Answers: 2
![\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}](/tpl/images/0922/7238/db689.png)
of arithmetic sequence = ![\frac{n}{2}[2a + (n - 1)d]](/tpl/images/0922/7238/8e3e6.png)
(this is also "a")Second term, 
![T_n = \frac{n}{2}[2a + (n - 1)d]](/tpl/images/0922/7238/f5b15.png)
![S_n = \frac{n}{2}[2(q) + (n - 1)q(z - 1)]\\\\S_n = \frac{n}{2}[2q + q(n - 1)(z - 1)]\\\\S_n = \frac{qn}{2}[2 + 1(n - 1)(z - 1)]\\\\\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}](/tpl/images/0922/7238/9958c.png)
![S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]](/tpl/images/0922/7238/baa4d.png)
![S_{10} = \frac{q(10)}{2}[2 + (10 - 1)(z - 1)]](/tpl/images/0922/7238/6383d.png)
![S_{10} = 5q[2 + (9)(z - 1)]\\\\S_{10} = 5q(2 + 9z - 9)\\\\](/tpl/images/0922/7238/c7136.png)
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Given that for an arithmetic sequence, the first term is q and the second term is qz.
(a) Find the...
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