if term of an AP is twice the term, prove that
term is twice the term.
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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.
Tʜᴜs,
According to statement
Now, We have to prove that
So, Consider
On substituting the value of a from equation (1), we get
Now, Consider
On substituting the value of a from equation (1), we get
Hence, from equation (2) and (3), we concluded that
Hence, Proved
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More to know :-
↝ Sum of n terms of an arithmetic sequence is,
Wʜᴇʀᴇ,
- Sₙ is the sum of n terms of AP.
- a is the first term of the sequence.
- n is the no. of terms.
- d is the common difference.
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