Question

An A.P. consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term.​

Answer 1

Answer refers in attachment.

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Wᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ,

↝ nᵗʰ term of an arithmetic sequence is,

• $\red\bigstar\:\:{\underline{\orange{\boxed{\tt{\pink{a_n\:=\:a\:+\:(n\:-\:1)\:d}}}}}}$

• $\red\bigstar\:\:{\underline{\orange{\boxed{\tt{\pink{S_n\:=\dfrac{n}{2} (2\:a\:+\:(n\:-\:1)\:d)}}}}}}$

• $\red\bigstar\:\:{\underline{\orange{\boxed{\tt{\pink{S_n\:=\dfrac{n}{2} (\:a\:+ \: a_n)}}}}}}$

Wʜᴇʀᴇ,

• aₙ is the nᵗʰ term.
• a is the first term of the sequence.
• n is the no. of terms.
• d is the common difference.
• Sₙ is the sum of first n terms