4 years ago

What is the value of the expression shown below?

Mathematics

1 answer:

melisa1 [442]4 years ago

3 0

6 4/9, hope this helps tell me if you need and explanation

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The triangular numbers are defined by the recursive formula t1 = 1, tn = tn - 1 + n, where n ∈N and n > 1. What are the first

GalinKa [24]

ANSWER

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

EXPLANATION

The recursive formula is,

$t_1=1,t_n=t_{n-1}+n$

when n is a natural number greater than 1.

When n=2,

$t_2=t_{2-1}+2$

$t_2=t_{1}+2 = 1 + 2 = 3$

when n=3,

$t_3=t_{2}+2 = 3 + 3= 6$

when t=4,

$t_4=t_{3}+2 = 6+ 4= 10$

When t=5,

$t_5=t_{4}+5 = 10 + 5 = 15$

when t=6,.

$t_6=t_{5}+6 = 15 + 6 = 21$

when t=7

$t_7=t_{6}+7 = 21 + 7 = 28$

When t=8,

$t_8=t_{7}+8 = 28 + 8 = 36$

When t=9,

$t_9=t_{8}+9 = 36 + 9 = 45$

Hence the first nine triangular number are

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

3 0

3 years ago

Find the value of x show your work

Ksivusya [100]

Answer:

x≈13.08

Step-by-step explanation:

We use the pythagora's theorem

$a^{2} +b^2=c^2\\a=5\\b=x\\c=14\\5^2+x^2=14^2\\x^2=196-25\\x^2=171\\x=3\sqrt{19} =13.08$

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4 years ago

The beverage orders from school cafeteria are shown in the graph. If 760 students purchase a beveragehow many of the students ch

kari74 [83]

according to the graph, 25% chose water, and

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 760}}{\left( \cfrac{25}{100} \right)760}\implies 190$

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3 years ago

What is the Ratio of 18:24, 4:70, 35:105, 22:7, 12:165, In fractions in their Simplest form?

Degger [83]

18:24 = 3/4
4:70 = 2/35
35:105 = 1/3
22:7 = 22/7
12:165 = 4/55

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4 years ago

Square root of -19 in terms of i

yulyashka [42]

Answer:

i√19

Step-by-step explanation:

Because √(-19) = √(-1)√19, and because √(-1) = i, we get i√19

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3 years ago