Решение
<span>a</span>₂ <span>= a</span>₁ <span>+ d
</span><span>a₉ </span><span>=a₁ </span><span>+ </span><span>8d
</span><span>a</span>₂ <span>= 3a</span>₉
<span>3(a</span>₁ <span>+ 8d) = a</span>₁ <span>+ d
</span><span>3a</span>₁ <span>+ 24d = a</span>₁ <span>+ d
</span><span>2a</span>₁ <span>+ 23d = 0
</span><span>2a</span>₁ = - 23d
<span>a</span>₁ = - 11,5d
<span>Sn = [2a</span>₁ + d*(n - 1)*n]/2
S₂₀ = [(a₁ + a₁ + 19d)*20]/2 = (a₁ + a₂₀)*10
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Объяснение:
a1 = -7, a2 = -5
d = a2 - a1 = -5 - (-7) = 2
a) an = a1 + (n-1)*d
a13 = -7 + 12*2 = -7+24 = 17 - тринадцатый член - ответ.
б) Найти сумму S(16) - формула: S = (An+Am)*(m-n+1)/2
A1 = - 7 - дано. A16 = -7 + 15*2 = 23
S16 = (-7+23)*(16/2) = 16*8 = 128 - сумма 16-ти - ответ.
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А x= -2/5
Б x= -5/7
Ну вообщемкак то так
16m - 5 = 15 - 10
16m = 15 - 10 + 5
16m = 10
m= 10 : 16
m= 5/8 = 0,625