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romanna [79]
4 years ago
13

Complete the recursive formula of the arithmetic sequence 9,-1,-11,-21

Mathematics
1 answer:
dimaraw [331]4 years ago
4 0

Step-by-step explanation:

a_1=9\\a_2=a_1-10=9-10=-1\\a_3=a_2-10=-1-10=-11\\a_4=a_3-10=-11-10=-21\\\vdots\\\\a_n=\left\{\begin{array}{ccc}a_1=9\\a_n=a_{n-1}-10\end{array}\right

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What is the least natural number which when divided by 3,5,6,8,10 and 12 leaves in each case remainder 2 but when divided by 13
bazaltina [42]

Answer:

962

Step-by-step explanation:

MMM for step by step its kinda just plug and check

962/3 = 320 R2

962/6 = 160 R2

962/8 = 120 R2

962/10 = 96 R2

962/12 = 80 R2

and finally 962/13 = 74

4 0
2 years ago
Sin97°cos43°+cos97°sin43°
kirza4 [7]
I added a screenshot with the head of the question

Answer:
sin (140°)

Explanation:
Angle addition formulas are used to express the trigonometric function in terms of the sum/difference between two angles α and β
These rules are shown in the attached image.

Now, the given expression is::
sin97°cos43°+cos97°sin43°We have:
α = 97°
β = 43°

Comparing the given formula with the general formulas in the image, we would find that the given formula represents the sum of the sin of two angles.

Therefore:
sin97°cos43°+cos97°sin43° 
= sin (97°+43°)
= sin (140°)

Hope this helps :)

7 0
3 years ago
HELP ON THIS PLEASE!!!!
Kisachek [45]

Answer:

cake

Step-by-step explanation:

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6 0
4 years ago
The difference between the largest share and the smallest share when 3450 yen is divided in the ratios 2:6:7
worty [1.4K]

Answer:

1150 yen

Step-by-step explanation:

There are 15 shares in total. 2+6+7

3450 / 15 = 230

So one share is 230

The smallest share is two

So 2×230 = 460 yen

Biggest share is Seven

So 7×230 = 1610 yen

1610 - 460 = 1150 yen

4 0
4 years ago
1
finlep [7]
This is a poorly imported question, but if QR=12 and RS=19, that means R is in between Q and S. And two parts = a whole segment because of a certain rule. Meaning
QS = 31
5 0
3 years ago
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