Ответ:
Объяснение:
1) Sₙ=(b₁-bₙ·q)/(1-q)
93=(b₁-6·0,5)/(1-0,5)
93=(b₁-3)/0,5
b₁-3=93·1/2
b₁=46,5+3=49,5
2) bₙ₊₁=bₙ·q; q=bₙ₊₁/bₙ
q=b₃/b₂=2/1=2
bₙ=b₁·qⁿ⁻¹; bₙ₋₁=bₙ/q
b₁=b₂/q=1/2=0,5
Sₙ=b₁·(1-qⁿ)/(1-q)
S₇=b₁·(1-q⁷)/(1-q)=1/2 ·(1-2⁷)/(1-2)=(1-2⁷)/(2·(-1))=(1-2⁷)/(-2)
S₁₄=b₁·(1-q¹⁴)/(1-q)=1/2·(1-2¹⁴)/(1-2)=(1-2¹⁴)/(-2)=(1-2⁷)(1+2⁷)/(-2)
S₁₄/S₇=((1-2⁷)(1+2⁷)/(-2))/((1-2⁷)/(-2))=-2(1-2⁷)(1+2⁷)/(-2(1-2⁷))=1+2⁷=1+128=129
1/4 (cos(2 x)+cos(4 x)+cos(6 x)+1) = 1