Answer:
all work is shown and pictured
25/100 in simplest form What do I divide it by
2 answers:
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The sum of the first four terms of the sequence is 22.
In this question,
The formula of sum of linear sequence is
The sum of the first ten terms of a linear sequence is 145
⇒
⇒ 145 = 5 (2a+9d)
⇒
⇒ 29 = 2a + 9d ------- (1)
The sum of the next ten term is 445, so the sum of first twenty terms is
⇒ 145 + 445
⇒
⇒ 590 = 10 (2a + 19d)
⇒
⇒ 59 = 2a + 19d -------- (2)
Now subtract (2) from (1),
⇒ 30 = 10d
⇒ d =
⇒ d = 3
Substitute d in (1), we get
⇒ 29 = 2a + 9(3)
⇒ 29 = 2a + 27
⇒ 29 - 27 = 2a
⇒ 2 = 2a
⇒ a =
⇒ a = 1
Thus, sum of first four terms is
⇒
⇒
⇒ S₄ = 2(2+9)
⇒ S₄ = 2(11)
⇒ S₄ = 22.
Hence we can conclude that the sum of the first four terms of the sequence is 22.
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Answer:
(a) and (b) are correct
Step-by-step explanation:
Given
See attachment for complete question
Required
Select the correct options
A clock is divided into two equal parts.
(1) 1 - 6
(2) 7 - 12
<em>When the hour hand is on (1), then the time is "after"</em>
<em>When the hour hand is on (2), then the time is "before"</em>
<em />
From the attached clock, we have:
(1) The hour hand on 9
(2) The minute hand 1 unit above 9 i.e. 46 minutes
(1) implies that, the time is before 9 i.e. past 8
(2) implies that the minutes is (60 - 46) before 9 or 46 minutes after 8
In (1) and (2) above, we have two interpretations.
1: (60 - 46) minutes before 9
This gives:
14 minutes before 9
2: 46 minutes past 8
i.e. 8 : 46
