The 4th term of AP is equal to 3 times the 1st term and the 7th term exceed the third term by 1 find 1st term and common difference
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Answer:
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Answer:
Given: -
- The 4th term of AP is equal to 3 times.
- the 1st term and the 7th term exceed
- there third term by 1
To Find : -
- find 1st term and common difference
Solution : -
a4 = 3a1
a1 + 3d = 3a1
3d = 2a1
a7 = 2a3 + 1
a1 + 6d = 2a1 + 4d + 1
2d = a1 + 1
4a1/3 = a1 + 1
a1 = 3
d = 2
Hence 1st term is 3 and common difference is 2