sʜᴏᴡ ᴛʜᴀᴛ ᴛʜᴇ sᴜᴍ ᴏғ ᴀʟʟ ᴛᴇʀᴍs ᴏғ ᴀɴ ᴀ.ᴘ. ᴡʜᴏsᴇ ғɪʀsᴛ ᴛᴇʀᴍ ɪs a ,ᴛʜᴇ sᴇᴄᴏɴᴅ ᴛᴇʀᴍ ɪs b ᴀɴᴅ ᴛʜᴇ ʟᴇᴛ ᴛᴇʀᴍ ɪs c ɪs ᴇǫᴜᴀʟ ᴛᴏ
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Wᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ,
↝ nᵗʰ term of an arithmetic sequence is,
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
Given That :-
☆ On substituting the values, we get
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