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ivanzaharov [21]
3 years ago
10

Tricia is going to write Patterns A, B, and C using the rule add 15. The first

Mathematics
1 answer:
8_murik_8 [283]3 years ago
5 0

Answer:

The answer is "Pattern B showed number 40; each pattern is also increased as per the rule".

Step-by-step explanation:

In every sequence pattern, it recalls that rule, it adds 15 in this need to build from the specified initial estimate each sequence.

In Pattern A.  

5+20+35+50+......

In Pattern B.

10+25+40+55+70+.....

In Pattern C.

15+30+45+60....

In this, pattern option B is correct because it will give 40.

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3 years ago
The n term of a geometric sequence is denoted by Tn and the sum of the first n terms is denoted by Sn.Given T6-T4=5/2 and S5-S3=
Leno4ka [110]
1 step: S_{5}=T_{1}+T_{2}+T_{3}+T_{4}+T_{5}, S_{3}=T_{1}+T_{2}+T_{3}, then
 S_{5}-S_{3}=T_{4}+T_{5}=5.

2 step: T_{n}=T_{1}*q^{n-1}, then 
T_{6}=T_{1}*q^{5}
T_{5}=T_{1}*q^{4}
T_{4}=T_{1}*q^{3}
T_{3}=T_{1}*q^{2}
and \left \{ {{T_{6}-T_{4}= \frac{5}{2} } \atop {T_{5}+T_{4}=5}} \right. will have form \left \{ {{T_1*q^{5}-T_{1}*q^{3}= \frac{5}{2} } \atop {T_{1}*q^{4}+T_{1}*q^{3}=5} \right..

3 step: Solve this system  \left \{ {{T_1*q^{3}*(q^{2}-1)= \frac{5}{2} } \atop {T_{1}*q^{3}*(q+1)=5} \right. and dividing first equation on second we obtain \frac{q^{2}-1}{q+1}= \frac{ \frac{5}{2} }{5}. So, \frac{(q-1)(q+1)}{q+1} = \frac{1}{2} and q-1= \frac{1}{2}, q= \frac{3}{2} - the common ratio.

4 step: Insert q= \frac{3}{2}into equation T_{1}*q^{3}*(q+1)=5 and obtain T_{1}* \frac{27}{8}*( \frac{3}{2}+1 ) =5, from where T_{1}= \frac{16}{27}.




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3 years ago
What is the first step in simplifying the expression below?
zlopas [31]

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subtracting 1 from 3 is the correct answer of this question

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