Question

2¹⁹⁸- 2¹⁹⁷- 2¹⁹⁶+ 2¹⁹⁵= k×2¹⁹⁵
Find k.

Plz Solve It.
Don't post wrong and irreverent answers.​

Answer 1

Correct Question:

2¹⁹⁸ - 2¹⁹⁷ - 2¹⁹⁶ - 2¹⁹⁵ = k × 2¹⁹⁵

Find k.

Answer:

To solve this, first check this sequence

⇢ 2³ - 2² = 8 - 4 = 4 = 2²

⇢ 2⁴ - 2³ = 16 - 8 = 8 = 2³

⇢ 2⁵ - 2⁴ = 32 - 16 = 16 = 2⁴

What we have observed in the above sequence??

— Whenever we are Subtracting a preceding number power of 2 to it's following number, we are getting results as power of preceding number.

Now we will solve the above question with the following idea only

• According to the Question :

⇒ 2¹⁹⁸ - 2¹⁹⁷ - 2¹⁹⁶ - 2¹⁹⁵ = k × 2¹⁹⁵

• Solving (2¹⁹⁸ - 2¹⁹⁷) will give 2¹⁹⁷

⇒ 2¹⁹⁷ - 2¹⁹⁶ - 2¹⁹⁵ = k × 2¹⁹⁵

• Solving (2¹⁹⁷ - 2¹⁹⁶) will give 2¹⁹⁶

⇒ 2¹⁹⁶ - 2¹⁹⁵ = k × 2¹⁹⁵

• Solving (2¹⁹⁶ - 2¹⁹⁵) will give 2¹⁹⁵

⇒ 2¹⁹⁵ = k × 2¹⁹⁵

⇒ 2¹⁹⁵ / 2¹⁹⁵ = k

⇒ k = 1

∴ Hence, the required value of k is 1.