The arithmetic sequence a_ia i

a, start subscript, i, end subscript is defined by the formula:
a_1 = -4910a
1

=−4910a, start subscript, 1, end subscript, equals, minus, 4910
a_i = a_{i - 1} + 8a
i

=a
i−1

+8a, start subscript, i, end subscript, equals, a, start subscript, i, minus, 1, end subscript, plus, 8
Find the sum of the first 575575575 terms in the sequence.

13875138answer:

step-by-step explanation:

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answer: 819.89 miles across america

step-by-step explanation:

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answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)

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