Question

calcule a soma dos termos da p.g. (4, 4√2, 8, 8√2, 16, 16V 2, 32)​

Answer 1

Explicação passo-a-passo:

S7 = 4 . (√2⁷ - 1)

√2 - 1

S7 = 4 . (√2⁷ - 1)(√2 + 1)

(√2 - 1)(√2 + 1)

S7 = 4 . (√2⁷ - 1)(√2 + 1)

√2² - 1²

S7 = 4 . (√2⁷ - 1)(√2 + 1)

2 - 1

S7 = 4 . (√[2⁶.2] - 1)(√2 + 1)

S7 = 4 . (2³.√2] - 1)(√2 + 1)

S7 = 4 . (8.√2 - 1)(√2 + 1)

S7 = 4 . (8√2² + 8√2 - √2 - 1)

S7 = 4 . (8 . 2 + 7√2 - 1)

S7 = 4 . (16 + 7√2 - 1)

S7 = 4 . (15 + 7√2)

S7 = 60 + 28√2