We read your photo as:

Find the sum of the first 20 terms of the arithmetic progression: 2, 5, 8, extand so on.

Mathematics

ScanSolve AI Answer

Answer

C\text{C}

Step-by-step solution

5 steps

  1. Identify the first term, common difference, and number of terms.

    The given sequence is an arithmetic progression: 2,5,8,…2, 5, 8, \dots
    The first term is a=2a = 2.
    The common difference is d=5−2=3d = 5 - 2 = 3.
    We need to find the sum of the first 20 terms, so n=20n = 20.

  2. Use the formula for the sum of the first nn terms of an arithmetic progression.

    The formula is:

    Sn=n2[2a+(n−1)d]S_n = \frac{n}{2}[2a + (n-1)d]

  3. Substitute the values into the formula.

    S20=202[2(2)+(20−1)3]S_{20} = \frac{20}{2}[2(2) + (20-1)3]

  4. Calculate the sum.

    S20=10[4+(19)3]S_{20} = 10[4 + (19)3] S20=10[4+57]S_{20} = 10[4 + 57] S20=10[61]S_{20} = 10[61] S20=610S_{20} = 610

  5. Compare the result with the given options.

    The calculated sum is 610, which corresponds to option (C).

    The final answer is C\text{C}.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QThe sum of the first five terms of an arithmetic progression is 5. The sum of the next ten terms is…QThe sum of the first n terms of an arithmetic progression is given by S_n = n2 + 3n. a) Find the…QThe first term of an arithmetic progression is 4 and the last term is 20. The sum of the terms is…QThe first three terms of an arithmetic progression (AP) are p/6, 2p, 6 and p respectively. (a) Given…QFind the 30th term of the arithmetic progression 600 + 650 + 700 + 750 + ...
Browse by topic:Pre-Calculus
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.