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  1. 1 + (3 + 1) (3² + 1) (34 + 1) (38 + 1) (316 + 1) (332 + 1) is equal to
    1. 364 - 1
      2
    2. 364 + 1
      2
    3. 364 – 1
    4. 364 + 1
Correct Option: B

According to question ,

1 + (3 + 1)(3² + 1)(34 + 1)(38 +1)(316 + 1)(332 + 1) = 1 +
(3 - 1)(3 + 1)
(3² + 1)(34 + 1)......(332 + 1)
3 - 1

= 1 +
(3² - 1)(3² + 1)(34 + 1)......(332 + 1)
2

= 1 +
(34 - 1)(34 + 1)(38 + 1)......(332 + 1)
2

= 1 +
(38 - 1)(38 + 1)(316 + 1)(332 + 1)
2

= 1 +
(316 - 1)(316 + 1)(332 + 1)
2

= 1 +
(332 - 1)(332 + 1)
2

Required answer = 1 +
364 - 1
=
364 + 1
22



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