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alflen209
@alflen209
April 2022
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Determine a soma dos termos da cada Pa:
A) (86, 83, 80, ... 35)
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LeleMaxter
Verified answer
R = a1 - a1 => 83 - 86 = -3
a1 = 86
an = 35
n = ?
an = a1 + (n - 1) . r
35 = 86 + (n - 1). (-3)
35 = 86 - 3n +3
3n = 89 - 35
3n = 54
n = 54 / 3
n = 18
Sn =
(a1 + an
)
. n
2
Sn = (
86 + 35) . 18
2
Sn =
121 . 18
2
Sn = 1089
20 votes
Thanks 38
Helvio
Verified answer
Determinar a razão:
r = a2 - a1
r = 83 - 86
r = -3
Determinar quantos termos tem a PA
an = a1 + ( n -1) * r
35 = 86 + ( n -1) * -3
35 = 86 - 3n + 3
35 = 89 - 3n
-54 = -3n
n = 18
PA com 18 termos:
===============
Determinar a soma dos termos:
Sn = ( a1 + an ) * n / 2
Sn = ( 86 + 35 ) * 18 / 2
Sn = 121 * 9
Sn = 1089
Soma dos termos = 1.089
5 votes
Thanks 4
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Lista de comentários
Verified answer
R = a1 - a1 => 83 - 86 = -3a1 = 86
an = 35
n = ?
an = a1 + (n - 1) . r
35 = 86 + (n - 1). (-3)
35 = 86 - 3n +3
3n = 89 - 35
3n = 54
n = 54 / 3
n = 18
Sn = (a1 + an) . n
2
Sn = (86 + 35) . 18
2
Sn = 121 . 18
2
Sn = 1089
Verified answer
Determinar a razão:r = a2 - a1
r = 83 - 86
r = -3
Determinar quantos termos tem a PA
an = a1 + ( n -1) * r
35 = 86 + ( n -1) * -3
35 = 86 - 3n + 3
35 = 89 - 3n
-54 = -3n
n = 18
PA com 18 termos:
===============
Determinar a soma dos termos:
Sn = ( a1 + an ) * n / 2
Sn = ( 86 + 35 ) * 18 / 2
Sn = 121 * 9
Sn = 1089
Soma dos termos = 1.089