Ответ: 313 750 .
Пошаговое объяснение:
( a ₙ ) , a ₁= 10 ; a ₙ = 2500 ;
10 + 10 *( n - 1) = 2500 ;
10 *( n - 1) = 2490 ;
n - 1 = 2490 : 10 ;
n - 1 = 249 ;
n = 249 + 1 = 250 ;
S₂₅₀ = [( a ₁ + a₂₅₀) : 2 ]*250 = ( a ₁ + a₂₅₀) * 125 = ( 10 + 2500 ) * 125 =
= 2510 * 125 = 313 750 .
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Ответ: 313 750 .
Пошаговое объяснение:
( a ₙ ) , a ₁= 10 ; a ₙ = 2500 ;
10 + 10 *( n - 1) = 2500 ;
10 *( n - 1) = 2490 ;
n - 1 = 2490 : 10 ;
n - 1 = 249 ;
n = 249 + 1 = 250 ;
S₂₅₀ = [( a ₁ + a₂₅₀) : 2 ]*250 = ( a ₁ + a₂₅₀) * 125 = ( 10 + 2500 ) * 125 =
= 2510 * 125 = 313 750 .