Please answer this question step by step with formula. 10,15,20, … are the first three terms of an arithmetic sequence, find the 30ℎ term.​

155

Step-by-step explanation:

this an Nth term question. we first need to find the Nth term formula. 10, 15, 20... it is going up in 5 so 5n is the beginning of the formula. we minus 5 from 10 to find out the number before it so 10-5=5. so the formula of the nth term is 5n + 5. now we need to find the 30th term. N is the number of the term we need to find, so we now know that N in the formula we found is 30.

formula= 5n + 5

N in the formula above is 30

we need to substitute 30 in to the formula.

N becomes 30.

formula: 5 (30) + 5.

5x30 + 5.

5x 30= 150 + 5= 155.

therefore the 30th term is 155.

hope this helps :)

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