„FINITE GEOMETRIC SERIES A pattern that multiplies S_n = a(1 - r^n) / (1 - r), r ≠ 1 3 + 6 + 12 + 24 = 45 a = first term · r = common ratio · n = number of terms“ ist ein Spider-Man-Texteffekt, erstellt mit FontVibe KI. Schwere, schmale rote Comic-Titelversalien mit tiefer dunkelblauer 3D-Tiefe und schwarzer Kontur, hoch über einer verregneten New Yorker Straßenschlucht mit Netzfäden.

Create a finished vertical 3:4 educational movie-poster graphic about finite geometric series. Use a clear, compact teaching hierarchy and preserve generous separation between all text blocks. Render only these exact text strings, with spelling and punctuation unchanged: headline “FINITE GEOMETRIC SERIES” on two centered lines, “FINITE” above “GEOMETRIC SERIES”; subhead “A pattern that multiplies”; formula “S_n = a(1 - r^n) / (1 - r), r ≠ 1”; worked example “3 + 6 + 12 + 24 = 45”; small definition line “a = first term · r = common ratio · n = number of terms”. No other lettering or numbers. Make the headline the dominant element in the upper quarter. Use bold, condensed, smooth, chunky classic comic-masthead lettering with rounded corners and gentle curves, never spiky. Set it on a subtle downward-bowing arc. Each letter has a solid flat matte comic-red face (#ED1C24), a thin dark-navy outline, and only a slender royal-blue (#1E2F9C) 3D edge offset along the lower-left; printed comic ink, with no gloss, chrome, specular shine, or red-to-blue split. Keep the title large and crisp. Below the headline, place the subhead as a short centered line. In the middle, show one small, anonymous red-and-deep-blue web-slinging hero silhouette swinging between Manhattan buildings, no recognizable face and no official emblem. Beside the figure, depict four clearly separated luminous nodes increasing in size and joined by fine web-like lines, visualizing the 3, 6, 12, 24 progression. Keep the character and nodes secondary to the lettering and leave the lower area open for the math. Set the formula in a highly legible light-colored sans serif on a dark translucent strip; put the worked example directly beneath it in bold gold type, then the definitions in small but readable white type. Background: grounded rain-slicked nighttime New York street canyon with worn brick, concrete rooftops and fire escapes, distant yellow taxi lights and soft neon points reflected on wet asphalt, drifting rain and cool grey-blue haze. Strong dramatic key light from upper left, cool blue rim light behind the hero, restrained warm gold reflections, tight radial vignette, and faint spider-web strands confined to the corners. Let heroic red, deep blue, and warm gold echo through the surrounding glow and reflections. Polished cinematic comic-poster finish, clear contrast, no clutter, no extra copy.