Find the 7th term in the following sequence: #1, 4, 7, 10, cdots #?

Answer 1

The 7th term in the given sequence is 19.

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Answer 2

#color(green)(19)#

The sequence appears to be an arithmetic sequence with a difference between terms of #color(blue)(3)#.
In general given a first term: #color(red)(a_1)# and a difference between successive terms: #a_n-a_(n-1)=color(blue)(d)#
the #n#th term can be calculated as #a_n=color(red)(a_0)+color(blue)(d) * (n-1)#
Therefore the #7#th term of the given sequence should be #color(white)("XXX")a_7=color(red)(1)+color(blue)(3) * (7-1) = 19#
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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