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balu736 [363]
1 year ago
11

16, 13, 10 is this sequence arithmetic or geometric and determine the common difference/ ratio in simplest form

Mathematics
2 answers:
Yuliya22 [10]1 year ago
7 0

Hii!

_________________________________________________________

\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}\circ\leftharpoonup}}

1. This sequence is arithmetic

2. The common ratio is 3.

\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation.}}}\circ\leftharpoonup

\bullet <em>Difference between arithmetic and geometric sequences</em>

<em />\twoheadrightarrow\sf Arithmetic\quad sequences - In arithmetic sequences, we add the same amount to obtain the next term.

\twoheadrightarrow\sf Geometric\quad sequences - In geometric sequences we multiply times the same amount to obtain the next term.

\bullet <em>Since we add the same amount to get the next term, the given sequence is arithmetic</em>

<em />\twoheadrightarrow\sf Common\;difference:-3

\bullet <em>In the given sequence we add -3, or subtract 3, to obtain the next term</em>

--

Hope that this helped! Best wishes.

\stackrel\ast{\textsl{Reach far. Aim high. Dream big.}}

--

lina2011 [118]1 year ago
4 0

Answer:

It is arithmetic progression

Step-by-step explanation:

If wwe see, the numbers are going down by 3 each time, therfore the common difference is 3

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What is the 24th term if the arithmetic sequence where a1 = 8 and a9 = 56
AnnyKZ [126]

Answer:

a_{24} = 146

Step-by-step explanation:

a1 = 8

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Using formula for finding nth term of arithmeric sequence

a_{n} =a_{1} + (n-1)d

We have to find 24th term, therefore n = 24

a_{1} is the first term but we are missing d

d is the difference between the two consecutive terms, lets calculate it first


a9 = 56

Using the above given formula for finding d

put n = 9,  a9= 56

a_{9} =a_{1}+ (9-1)d

56 = 8 + 8d

8d = 48

d = 6


Getting back to main part of finding 24th term

n = 24, d = 6, a1 = 8

put values in nth term formula

a_{n} =a_{1}+ (n-1)d

a_{24} = 8 + (24-1)6

a_{24} = 8 + 138

a_{24} = 146



5 0
3 years ago
100 Points
UNO [17]
<span>1) Write the equation in slope intercept form if 

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so

</span><span>equation in slope intercept 
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</span><span>2. Find the x intercept of the line 5x-2y=10

x intercept when y = 0
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answer
x intercept (2 , 0)

hope it helps
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