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-BARSIC- [3]
1 year ago
12

The larger of two consecutive integers is 7 greater than twice the smaller. Find the integers. ( 4, 5)( -8, -9)(-5, -6)

Mathematics
1 answer:
igor_vitrenko [27]1 year ago
8 0

Answer:

(-5, -6)

Step-by-step explanation:

The smaller integer is x.

The larger integer is x + 1.

x + 1 = 7 + 2x

-x = 6

x = -6

x + 1 = -6 + 1 = -5

Answer: (-5, -6)

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Identify az of this sequence: 0.25, 0.5, 0.75, 1, 1.25. 1.5
4vir4ik [10]
<h3><u>Question:</u></h3>

Identify a3 of this sequence: 0.25, 0.5, 0.75, 1, 1.25, 1.5,...a3=

<h3><u>Answer:</u></h3>

The third term of sequence is 0.75

a_3 = 0.75

<h3><u>Solution:</u></h3>

Given that, sequence is:

0.25, 0.5, 0.75, 1, 1.25. 1.5

Let us find the difference between terms

0.5 - 0.25 = 0.25\\\\0.75-0.5 = 0.25\\\\1.25-1=0.25\\\\1.5-1.25=0.25

This is a arithmetic sequence

Because the difference between any term and its immediately preceding term is always 0.25

In a arithmetic sequence,

a_1 = \text{ first term of sequnece }\\\\a_2 = \text{second term of sequnce }\\\\a_3 = \text{third term of sequnece }\\\\a_n = \text{ nth term of sequnce }

Thus, in the sequence 0.25, 0.5, 0.75, 1, 1.25. 1.5

a_3 = \text{ third term } = 0.75

Thus the third term of sequence is 0.75

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Answer:5,5

Step-by-step explanation:

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