pls answer this I can't get this question!!!
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Answer:
c = 3
Step-by-step explanation:
2ⁿ⁺² = 2ⁿ × 2² = 2ⁿ × 4
2ⁿ⁺¹ = 2ⁿ × 2
now, according to the question
2ⁿ⁺² - 2ⁿ⁺¹ + 2ⁿ = c × 2ⁿ
⇒ (2ⁿ × 4 - 2ⁿ × 2 + 2ⁿ)/2ⁿ = c
⇒ c = 2ⁿ × 4/2ⁿ - 2ⁿ × 2/2ⁿ + 2ⁿ/2ⁿ
⇒ c = 2ⁿ × 4 × 2⁻ⁿ - 2ⁿ × 2⁻ⁿ × 2ⁿ + 2ⁿ × 2⁻ⁿ
⇒ c = 4 - 2 + 1 = 3
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