6/(3²⁶) + (10·1)/(3²⁵) + (10·2)/(3²⁴) + (10·2²)/(3²³) + + (10·2²⁴)/3 is equal to:

Sequence and Series: JEE Main 2026 Mathematics question

JEE Main 2026 · 28 Jan, Evening shift · Q17

JEE Main 202628 Jan, Evening shiftMathematicsEasySequence and Series179× since 2002

\frac{6}{3^{26}} + \frac{10\cdot1}{3^{25}} + \frac{10\cdot2}{3^{24}} + \frac{10\cdot2^2}{3^{23}} + \ldots + \frac{10\cdot2^{24}}{3}

is equal to :

JEE Main 2026 · 28 Jan, Evening shift · Q17

JEE Main 202628 Jan, Evening shiftMathematicsEasySequence and Series179× since 2002

\frac{6}{3^{26}} + \frac{10\cdot1}{3^{25}} + \frac{10\cdot2}{3^{24}} + \frac{10\cdot2^2}{3^{23}} + \ldots + \frac{10\cdot2^{24}}{3}

is equal to :