Problem2 Let n and k be integers with 1 ≤k≤n. Show that 2+2 ( 7 ) ( k ² ₁) = (²²+²7). 2 Σκ=1 - (²72)

Q: 133. -Σ 2" Sn+ -(x + 2)" n=0

A: Consider the series, Rewrite this as Now take the constant outside,

Q: Find 1 (9) Lp(p – 1). p(p²-1)3 (10) L-1 (p2+1)2,

A:

Q: 9. -2r - 7 >1 or x-2 2-1

A: we nee to solve the inequality -2x-7>1    or    x-2≥-1

Q: what are the first three terms in the binamial, expansion of (2a-0,5b) 1.

A: Given

Q: Prove that if x is an even integer, thenx^2−6x+ 3is odd

A: Any integer of the form 2m+1 is odd.