Question

number of even numbers between 58 and 80 is. a. 10 b. 11 c. 12 d. 13
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Answer 1

Answer:

a.10

Step-by-step explanation:

between 58 to 80 are

60-1

62-2

64-3

68-4

66-5

70-6

72-7

74-8

76-9

78-10

Answer 2

Step-by-step explanation:

$Hi , \\ </p><p></p><p>60 , 62 ,64 ,...78 \: are \: even \: numbers \\ </p><p></p><p>between \: 58 \: and \: 80.</p><p></p><p> \\ We \: know \: that \: they \: are \: in \: Arithmetic </p><p></p><p>Progression. \\ </p><p></p><p>first \: term = a = 60 \\ </p><p></p><p>last \: term = l = 78 \\ </p><p></p><p>Common \: difference = d = a2 - a 1 \\ </p><p></p><p>d = 62 - 60 = 2 \\ </p><p></p><p>let \: the \: number \: of \: terms = n \\ </p><p></p><p>We \: know \: that, \\ </p><p></p><p> a + ( n - 1 ) d = l</p><p> \\ </p><p>60 + ( n - 1 ) 2 = 78 \\ </p><p></p><p>Divide \: each \: term \: with \: 2 \: we \: get, \\ </p><p></p><p>30 + ( n - 1 ) = 39 \\ </p><p></p><p></p><p>29 + n = 39 \\ </p><p></p><p>n = 39 - 29 \\ </p><p></p><p>n = 10 \\ </p><p></p><p>Therefore, \\ </p><p></p><p>There \: are \: 10 \: terms \: between \: 58 \: and \: 80. \\ </p><p></p><p>.</p><p></p><p>$